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Nonamiya [84]
3 years ago
12

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

gs​
Mathematics
1 answer:
Y_Kistochka [10]3 years ago
5 0

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.

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