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Which best explains why this triangle is or is not a right triangle?

Which best explains why this triangle is or is not a right triangle?-example-1
User Smishra
by
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2 Answers

0 votes

Answer:

D

Explanation:

Using the converse of Pythagoras

If the square of the longest side equals the sum of the squares on the other 2 sides then the triangle is right.

longest side = 39

39² = 1521

36² + 15² = 1296 + 225 = 1521

The triangle is right since 36² + 15² = 39²

User Ed Summers
by
8.0k points
7 votes

Answer:

This triangle is a right triangle:

36² + 15² = 39².

Explanation:

If a ≤ b <c is the length of the sides of a right triangle, then:


a^2+b^2=c^2

We have


a=15\ in,\ b=36\ in,\ c=39\ in

Check the equality:


L_s=15^2+36^2=225+1296=1521


R_s=39^2=1521


L_s=R_s

It's a right triangle.

User DragonLord
by
8.1k points

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