Question

A right triangle has a leg of 12 cm and a hypotenuse of 19 cm.

What is the length of the other leg?

Round to the nearest tenth.


7.0 cm

14.7 cm

22.5 cm

217.0 cm

Answer 1

B. 14.7

Explanation:

You would need to use the Pythagorean Theorem to find the length of the other leg. But you basically have to use it backwards. The theorem is a^2+b^2=c^2.

Substitute the values: a^2+12^2=19^2

Calculate the exponents: a^2+144=361

Subtract 144 from both sides: a^2=217

Find the square root of 217: 14.70309

Round to the nearest tenth: 14.7

Answer 2

The length of the other leg is 14.7 cm.

Explanation:

I took the test and got it correct. A picture is below to show proof.

Good luck with your test!