Only 15 solve 11. The lengths of the sides of a triangle are in the ratio of 17:10:9.Find the lengths of the three sides if the area of the triangle is576 cm².12. Find the area of a triangle if its two sides measure 6 in. and 9 in.and the bisector of the angle between the sides is 4.3 in.13. In acute triangle ABC, an altitude AD is drawn. Find the area oftriangle ABC if AB = 15 in., AC=18 in, and BD = 10 in.14. In a right triangle, a line perpendicular to the hypotenuse drawnfrom the midpoint of one of the sides divides the hypotenuse intosegments which are 10 cm and 6 cm long. Find the lengths of thetwo sides of the triangle.15. Triangle ABC has the following measures: AB = 15 in., AC= 25 in, andBC= 30 in. From a point D on side AB, a line DE is drawn to a pointE on side AC such that angle ADE is equal to angle ABC. If theperimeter of triangle ADE is 28 in., find the lengths of lineham segments BD and CE.

Answered: Image /qna-images/answer/e2cea04c-f10a-48b0-b444-5546a95e357b.jpg

5. Triangle ABC has the following measures: AB=15 in AC=25 in, and BC-30 in. From a point D on side AB, a line DE is drawn to a point E on side AC such that angle ADE is equal to angle ABC. If the perimeter of triangle ADE is 28 in., find the lengths of line segments BD and CE.

5. Triangle ABC has the following measures: AB=15 in AC=25 in, and BC-30 in. From a point D on side AB, a line DE is drawn to a point E on side AC such that angle ADE is equal to angle ABC. If the perimeter of triangle ADE is 28 in., find the lengths of line segments BD and CE.

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter3: Triangles

Section3.CT: Test

Problem 19CT: The perimeter of an isosceles triangle is 32cm. If the length of the altitude drawn to the base is...

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Question

Only 15 solve

11. The lengths of the sides of a triangle are in the ratio of 17:10:9.
Find the lengths of the three sides if the area of the triangle is
576 cm².
12. Find the area of a triangle if its two sides measure 6 in. and 9 in.
and the bisector of the angle between the sides is 4.3 in.
13. In acute triangle ABC, an altitude AD is drawn. Find the area of
triangle ABC if AB = 15 in., AC=18 in, and BD = 10 in.
14. In a right triangle, a line perpendicular to the hypotenuse drawn
from the midpoint of one of the sides divides the hypotenuse into
segments which are 10 cm and 6 cm long. Find the lengths of the
two sides of the triangle.
15. Triangle ABC has the following measures: AB = 15 in., AC= 25 in, and
BC= 30 in. From a point D on side AB, a line DE is drawn to a point
E on side AC such that angle ADE is equal to angle ABC. If the
perimeter of triangle ADE is 28 in., find the lengths of line
ham segments BD and CE.

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