Question

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

Answer 1

9.5 inches

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.

`1 0 ^ 2 = 3 ^ 2 + x ^ 2`

`100=9+x^2`

`x^2=91`

`√(x^2) =√(91)`

x = 9.5

Answer 2

9.53 inches

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.