For the 45°-45°-90° triangle shown, suppose that AC а) ВС = a. Find: а. b) AB

Q: Suppose a triangle has vertices A, B and C and has the following measurements: m2C = 92° AC = 39.9…

A: It is observed here that 2 sides and the included angle is given. Therefore the cosine rule has to…

Q: Draw, if possible, a a) right scalene triangle. b) triangle having both a right angle and an obtuse…

A: To draw triangle

Q: Each triangle shows its three angle bisectors intersecting at point C, the incenter.

A: Given, each triangle shows its three angle bisectors intersecting at point C, the incenter.…

Q: Consider ACAT (not shown). Which angle is included by sides AT and CT? a) OZA b) O2C c) O ZT

A:

Q: Given the side measurements, classify the triangle. 11, 13, 24 A Acute B) Obtuse Right D Not a…

A: Given: The side measurements of the triangle: 11,  13,  24

Q: Are the triangles similar? If so, which similarity theorem is used?

A:

Q: In a triangle ABC, AB=8m and BC=20m. What is the dimension of CA?

A: GIVEN, In a triangle ABC, AB=8m and BC=20m DIMENSION OF AC=?

Q: The measures of the angles of a triangle are shown in the figur ((8х-15)° 330 Type here to search a

A: As we know that sum of all the 3 angles of a triangle is equal to 180 degree

Q: State what additional information is required in order to know that the triangles are congruent for…

A: Solution of the problem as follows

Q: Given ZABC (as shown), provide a second correct method for naming this angle. A B C

A: Given that,∠ABC

Q: Draw two triangles ABC and A'B'C' on different planes such that the two triangles are perspective…

A: We need to draw two triangles such that the two triangles are perspective from a line and from a…

Q: Consider the figures. Which two triangles are congruent?

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Q: In acute triangle ABC, side b= 12, side c = 10 and mLA = 42. Find side a. %3D

A: We will use cosine law to answer this

Q: Find the side opposite the given angle for a spherical triangle having b = 60°, c = 30°, A = 45° O…

A: To Find the side opposite the given angle for a spherical triangle having b = 60°, c = 30°, A = 45°

Q: The measure of each interior angle of a regular pentagon is _____?

A: We have to find the measure of each interior angle for regular pentagon. We know that in regular…

Q: For what type of triangle will the incenter and the circumcenter be the same?

A: The Circumcenter of a triangle is the point where perpendicular bisectors of the three sides meet.…

Q: Given ZABC (as shown), provide a second correct method for naming this angle. . A C

A: According to given figure ∠ABC can also be written as ∠CBA

Q: Consider a triangle ABC, on each of whose sides equilateral triangles are dra

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Q: Given a triangle NMQ (not shown), <M is a right angle , then ;

A:

Q: Let AABC be an equilateral triangle with defect . What is the measure of each angle?

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Q: DE is a midsegment of triangle ABC. If DE = 5, what does BC = ? B BC =

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Q: In the diagram, AB = BC = CD = DA B Prove that triangle ADB is congruent to triangle CDB. A D

A: Given : AB = BC = CD = DA

Q: Triangle RST was dilated to create triangle R'ST, as shown on the coordinate grid below. Which…

A: In triangle RST  RT= 4 units In triangle R'S'T'  R'T' =10 units

Q: The parallelogram shown in the figure below has a perimeter of 44 cm and an area of 64 cm2. Find…

A: Firstly, we find the value of x , by using the fact that perimeter is sum of all sides of…

Q: #2 27 32 14 4. Find AC ,95 A C メ

A: Find ac with the help of congruency property

Q: If AABC is an isosceles triangle and ADBE is an equilateral triangle, find each angle measure.

A: ∆ABC is isoceless.So,∠A =∠B4x+3 = 9x-47

Q: Given the following triangle, what is sec(@)? 15 12

A:

Q: While at a baseball game, Damian and Anita noticed that the distance between home plate, the second…

A: Assume it is theta Q Solve as per below

Q: In AABC pictured, AD is the angle bisector of LA. If BD = 5, CD = 6 and AB = 8, find AC. B. %3D %3D…

A:

Q: Given that the two triangles shown are congruent, explain one way to verify that the corresponding…

A: Given: The two triangle are shown are congruent  To Explain: The one way to verify that the…

Q: A ship sails 110 miles from Island A toward Island B, but then turns through an angle of 120 and…

A: let a,b and c are side opposite to angle A ,B and C respectively.

Q: Construct an equilateral triangle with each side having length 2k. Answers through (a) to (d). (a)…

A: Given query is to construct a equilateral triangle with side 2k and find measure of the angles.

Q: 1. Tina is constructing an angle congruent to ZABC. What is her next step?

A: For constructing an angle congruent to ∠ABC we need to follow the below steps: 1. Draw a line and…

Q: In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint of BC. If MZDEB =…

A: In △ABC, D is a  midpoint of AB¯ and E is a midpoint of BC¯ To evaluate : The value of m∠ACE if…

Q: Given the spherical triangle AABC whose sides have measure a, b, c as indicated. Use three…

A: Given:

Q: A triangle has side lengths 7 in, 11in, and 9in. Will it form a right triangle? If not, what type of…

A: In the question it is asked to check whether the given sides (7 in, 11 in, 9 in) form right angle or…

Q: Based on the image below, which triangle congruence theorem would prove the triangles congruent?

A:

Q: Given a triangle GHF, what side is included between angle H and angle F?

A: Firstly we will draw the diagram by using the given data as shown below

Q: Can the sides of a triangle have lengths of 38, 38, and 5? If so, what kind of triangle is It? yes,…

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Q: A triangular tarpaulin is to be used in making an advertisement. If two sides of the triangle are…

A:

Q: . Perdita thinks an isosceles triangle can exist with side lengths 7 cm, 15 cm, and 7 cm. Hector…

A: Given side lengths = 7 cm,15 cm,7 cm

Q: DE is a midsegment of triangle ABC. If DE = 5, what does BC = ? C BC = Blank 1:

A: Given data: The length of midsegment is DE=5.

Q: Can the sides of a triangle have lengths of 29, 28, and 8? If so, what kind of triangle is it? yes,…

A:

Q: Solve for the missing sides using pythagorean theorem or special right triangle rules. 14 a 14/2 *…

A: A triangle is a polygon with three sides. A right triangle is a triangle with one of its angles…

Q: Can the sides of a triangle have lengths of 7.4, 6.5, and 9? If so, what kind of triangle is it?…

A:

Q: Consider the diagram below. "Given 1 Which triangle was constructed congruent to the given triangle?

A: The construction steps of congruent triangles are: 1. Draw a base line. 2. Adjust the compass…

Q: If AB = BC, must point B be the midpoint of AC? Explain.

A: Given that, AB = BC

Q: A 43​.0-m guy wire is attached to the top of a 31.6​-m antenna and to a point on the ground. How far…

A:

Q: In the diagram, AB = BC = CD = DA В Prove that triangle ADB is congruent to triangle CDB. A C D

A:

Q: show that the base angles of an isosceles triangle are equal

A: Consider an isosceles triangle ABC with AB=AC. Then prove