The length of one of the legs in a right triangle is 3 inches . if the hypotenuse is 10 inches long what the length of the other leg

9.5 inches

Step-by-step explanation:

We are given that in a right angled triangle, one leg is 3 inches long while the hypotenuse is 10 inches long. We are to find the length of the other leg.

For this, we will use the Pythagoras Theorem.

Assuming x to be the length of the other leg.

x = 9.5

9.53 inches

Step-by-step explanation:

In a right  angles triangle, the sum of the squares of the two legs (a and b) equals the square of the the hypotenuse.

a²+b²=c²

Substituting for the values provided in the question we get the following:

3²+b²=10²

b²=10²-3²

b²=91

b=9.53 inches.

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