The legs of a right triangle are in the ratio 3:4. If the hypotenuse is 10, what is the length of the longer leg?

H^2 = P^2+ B^2

10^2 = 3x^2 +4x^2

100 = 9x^2 + 16x^2

100 = 25x^2

100 ÷ 25 = x^2

4 = x^2

x= 2

Length of longer arm is 4x = 4×2=8

Step-by-step explanation:

8

Step-by-step explanation:

ratios of legs = 3x and 4x

Pythagorean theorum:

A^2+B^2=C^2

3x^2+4x^2=10^2

9x^2+16x^2=100

25x^2=100  --> divide by 25

x^2=4 --> x=2

length of longer leg is 4x = 4 x 2 = 8

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step-by-step explanation:

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