221k views
4 votes
Using Pythagorean inequalities, determine which of the following sets of values can represent the lengths of the sides of a right triangle.

User Ashwin
by
7.9k points

1 Answer

4 votes
The identities are:
If c^2 > a^2 + b^2 the triangle is an obtuse triangle
If c^2 < a^2 + b^2 then triangle is an acute triangle
If c^2 = a^2 + b^2 the triangle is a right triangle
The longest length always goes in for C.
A. 6^2 <,>,= 4^2 + 5^2
36 <,>,= 16 + 25
36 ____41 36< 41 acute

B. 19^2 <,>,= 5^2 + 13^2
361 <,>,= 25 + 169
361 ____194 361 > 194 obtuse

C. 25^2 <,>,= 12^2 + 14^2
625 <,>,= 144 + 196
625 <,>,= 340
625 ___ 340 625 > 340 obtuse

D. 75^2 <,>,= 21^2 + 72^2
5625 <,>,= 441 + 5184
5625 <,>,= 5625
5625 = 5625 right triangle
LETTER D
User Wyx
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories