O A. Because V40 # V32, not all sides are equal. Therefore, the triangle is not equilateral.O B. Because V40 z V32, it follows that no two angles are equal. Therefore, the triangle is not equilateral.OC. Because there are two sides of length 40, two sides are equal. Therefore, the triangle is equilateral.O D. Because there are two sides of length 40, it follows that two angles are equal. Therefore, the triangle is equilateral. The triangle with vertices R(- 2,3), S(2, – 1), and T(4,5) is shown to the right. The lengths of the three sides are computed below.RS = (-2-2)2+ (3- (- 1))?V(-2-4)2 + (3 - 5)²V(2- 4)2 + (-1-5)2= V16 + 16 = V32V36+ 4 = V40(45)RI-2,3)RT =ST == V4+ 36 = V40Is the triangle equilateral?

Answered: Image /qna-images/answer/c54cf5b8-12b2-44f9-9ef7-0d1dd238eec8.jpg

The triangle with vertices R(- 2,3), S(2, – 1), and T(4,5) is shown to the right. The lengths of the three sides are computed below. RS = (-2-2)² + (3-(- 1))² = /16+16 = /32 RT = (-2- 4)² + (3 – 5)² V(2- 4² + (-1- 5)² = V36+ 4 = V40 /4+ 36 = V40 ST = %3D Is the triangle equilateral?

The triangle with vertices R(- 2,3), S(2, – 1), and T(4,5) is shown to the right. The lengths of the three sides are computed below. RS = (-2-2)² + (3-(- 1))² = /16+16 = /32 RT = (-2- 4)² + (3 – 5)² V(2- 4² + (-1- 5)² = V36+ 4 = V40 /4+ 36 = V40 ST = %3D Is the triangle equilateral?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 10E

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Question

O A. Because V40 # V32, not all sides are equal. Therefore, the triangle is not equilateral.
O B. Because V40 z V32, it follows that no two angles are equal. Therefore, the triangle is not equilateral.
OC. Because there are two sides of length 40, two sides are equal. Therefore, the triangle is equilateral.
O D. Because there are two sides of length 40, it follows that two angles are equal. Therefore, the triangle is equilateral.

The triangle with vertices R(- 2,3), S(2, – 1), and T(4,5) is shown to the right. The lengths of the three sides are computed below.
RS = (-2-2)2+ (3- (- 1))?
V(-2-4)2 + (3 - 5)²
V(2- 4)2 + (-1-5)2
= V16 + 16 = V32
V36+ 4 = V40
(45)
RI-2,3)
RT =
ST =
= V4+ 36 = V40
Is the triangle equilateral?

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