A teacher is writing exam questions for her math class. She draws a triangle, labels the vertices A, B and C and labels the opposite sides a=3, b=4 and c=10 respectively. 10:49mathspace.co– PrivateE LAW OF COSINES34567How could the student determine that there is7bno such triangle by just considering the givenside lengths?OThe sumof the twosidesmeasuring4 and 10is greater围than thelength ofthe thirdsidemeasuring3. In atriangle,the sumof any twosidesmust beless thanthe thirdside.BThe sumof the twosidesmeasuring3 and 4is lessthan thelength ofthe thirdsidemeasuring10. In atriangle.the sumof any twosidesmust begreaterthan thethird side.A Skip stepSubmit

It is given that in triangle ABC a=3 b=4 c=10

Answered: A teacher is writing exam questions for…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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A teacher is writing exam questions for her math class. She draws a triangle, labels the vertices A, B and C and labels the opposite sides a=3, b=4 and c=10 respectively.

10:49
mathspace.co– Private
E LAW OF COSINES
3
4
5
6
7
How could the student determine that there is
7b
no such triangle by just considering the given
side lengths?
O
The sum
of the two
sides
measuring
4 and 10
is greater
围
than the
length of
the third
side
measuring
3. In a
triangle,
the sum
of any two
sides
must be
less than
the third
side.
B
The sum
of the two
sides
measuring
3 and 4
is less
than the
length of
the third
side
measuring
10. In a
triangle.
the sum
of any two
sides
must be
greater
than the
third side.
A Skip step
Submit

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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