Question

A leg of a right triangle measures 12 cm. The hypotenuse of the triangle measures 37 cm. What is the measure, in centimeters of the other

leg of the triangle?
25
35
39
49

Answer 1

35

Explanation:

To solve for the hypotenuse of a right triangle, we use the Pythagorean Theorem, which is an equation to solve for the length of the hypotenuse given the two sides. The equation is a^2+b^2=c^2, where A and B are the legs of the triangle, and C is the hypotenuse. Let's manipulate this equation now. We are given one leg and the hypotenuse length, so the equation would be 12^2+b^2=37^2. Since we are trying to find the length of one of the legs, you subtract 12^2 from 37^2 to isolate B, and you get B^2 as 1225. You take the square root of both sides, and then you get 35 as the answer.

Answer 2

The answer is 35

Explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side b

Using Pythagoras theorem we have

a² = b² + c²

where a is the hypotenuse

Substitute the values into the above formula and solve

That's

`{37}^(2) = {b}^(2) + {12}^(2) \\ {b}^(2) = {37}^(2) - {12}^(2) \\ { b}^(2) = 1369 - 144 \\ {b}^(2) = 1225 \\ b = √(1225)`

We have the final answer as

35

Hope this helps you