Question

One of the legs of a right triangle measures 6 cm and its hypotenuse measures 10 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answer 1

Answer:

let base = 6cm

perpendicular =x cm

hypotenuse =10cm

by using Pythagoras law

hypotenuse ²=perpendicular ²+base²

10²=x²+6²

100-36=x²

x=√64=8cm

the measure of the other leg is 8cm

Answer 2

The measure of the other leg of the right triangle is equal to 8 cm.

• Let the other leg of the right triangle be the opposite side.

Given the following data:

• Adjacent = 6 cm

• Hypotenuse = 10 cm

To find the measure of the other leg, we would apply Pythagorean's theorem:

Mathematically, Pythagorean's theorem is given by the formula;

$Hypotenuse^2 = opposite^2 + adjacent^2$

Substituting the given parameters into the formula, we have;

$10^2 = opposite^2+6^2\\\\100= opposite^2+36\\\\Opposite^2=100-36\\\\Opposite^2=64\\\\Opposite=\sqrt{64}$

Opposite = 8 cm

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