Question

The area of a right triangle is 30 ft2. The base of the triangle is 12 ft. What is the length of the hypotenuse?

Please show your work, and don't forget to label your answer!! Thank you!

Answer 1

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ The formula for a right triangle is:

(b x h) / 2

We know this:

(12 x n) / 2 = 30

Multiply both sides by 2:

12 x n = 60

Divide both sides by 12:

n = 5

Now we know the height is 5

We can now use Pythagoras' theorem to calculate the hypotenuse:

c^2 = 5^2 + 12^2

c^2 = 169

Square root it:

c = 13

The hypotenuse is 13 ft

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer 2

The formula for working out the area of a triangle:

(b x h) / 2

`(12*h)/2=30\\(*2)\\12*h=60h\\h=5`

Pythagoras' theorem to calculate the hypotenuse:

c² = 5² + 12²

c² = 169

c = 13

The hypotenuse is 13 ft

Explanation: