Question

A right triangle has a hypotenuse of 8 feet. One leg has a length of 5 feet. How long is the other leg?

Answer 1

THEOREM:

Pythagorean theorem:– In a right angled triangle, the sum of squares of two legs is equal to the square of hypotenuse.

ANSWER:

Let the other leg be p, by pythagorean theorem

p² = h² - b²

p² = (8)² - (5)²

p² = 64 - 25

p² = 39

p = √39 ft.

So, Correct choice - [B] √39 ft.

Answer 2

Answer:

B

Step-by-step explanation:

The formula a^2 + b^2 = c^2 can be used to find any of the legs of the triangle. a and b are legs of the triangle and c is the hypotenuse. We can substitute known values into the equation:

a^2 + b^2 = c^2

One leg is 5 so we can put that in as a. And c, the hypotenuse, is 8.

5^2 + b^2 = 8^2

Now solve for b.

First, square 5 and 8

25 + b^2 = 64

Subtract 25 from both sides

b^2 = 39

Take the square root of both sides

b = √39