Question

Find the length of the hypotenuse.c,for a right triangle with legs 30inches and 16inches

Answer 1

Step-by-step explanation

By applying the Pythagorean Theorem, we can compute the value of the hypotenuse,as shown as follows:

`Hypotenuse^2=Smaller\text{ leg}^2+Larger\text{ leg}^2`

Plugging in the terms into the expression:

`c^2=16^2+30^2`

Computing the powers:

`c^2=256+900`

Adding numbers:

`c^2=1156`

Applying the square root to both sides:

`c=√(1156)`

Computing the root:

`c=34`

In conclusion, the hypotenuse is equal to 34 inches.