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 le

Question

2 years ago

12

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1 answer:

Y_Kistochka [10] · Answer 1 · 2022-03-30T21:54:27+03:00

Answer:

12;16

Step-by-step 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.