155k views
2 votes
a right triangle has a hypotenuse with a length of 20. the lengths of the legs are whole numbers. what are the lengths of the legs​

User Gbjbaanb
by
8.6k points

2 Answers

7 votes

Answer:

12;16

Explanation:

User Steaphann
by
8.0k points
3 votes

Answer:

12;16

Explanation:

The Pythagorean theorem states that

a^2+b^2=c^2 where a and b are legs of a triangle, and c is the hypotenuse.

This means that we have to find 2 values that once squared, add up to 400. (20^2)

Based on this, we can use the values of 12 and 16 to satisfy this.

12^2+16^2=144*256=400

Therefore, the legs of the triangle are 12 and 16.

User Prithajnath
by
9.0k 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