Question

What is the length of the side of a right triangle that has a side length of 12in and a hypotenuse that measures 15ft

Answer 1

14.97 ft

Explanation:

We have a right angled triangle with a side length of 12 inches and hypotenuse of 15ft.

To find the other side length, we will use the Pythagoras Theorem but before that, we need to make the units same for both the given sides.

Since 1 feet has 12 inches so we can use both the sides in ft to find the third side length.

`a = √(b^2+c^2)`

where c is the hypotenuse and a and b are the rest of the sides of the triangle.

`b = √((15)^2-(1)^2)`

`b = √(224)`

`b = 14.97`

Therefore, the third side length is 14.97 ft.

Answer 2

Answer: 14.96ft

Explanation:

1. To solve this exercise you must apply the Pythagorean Theorem, which is:

`a=\sqrt{b^(2)+c^(2)}`

Where
`a` is the hypotenuse, and
`b` and
`c` are the other sides of the triangle.

2. You have that the sides given measures 12 inches. 1 feet has 12 inches. Therefore, this side measures 1 feet.

2. Then, when you solve for one of the sides and substitute the values given in the problem into the formula shown above, you obtain that the length of the side of the rigth triangle is:

`b=\sqrt{(15ft)^(2)-(1ft)^(2)}`

`b=4√(14)=14.96ft`