What is the length of the hypotenuse of the triangle

Question

asked Jan 4, 2020 224k views

2 Answers

Menjaraz · Answer 1 · 2020-01-08T03:42:45+0000

Answer:

The correct option is 4.

Explanation:

According to the Pythagoras theorem, the sum of squares of two legs of a triangle is equal to the square of the hypotenuse of the triangle.

(hypotenuse)^2=(leg_1)^2+(leg_2)^2

From the given figure it is clear that the length of one leg is 4 ft and the length of second leg is 7 ft.

Using Pythagoras theorem, we get

(hypotenuse)^2=(4)^2+(7)^2

(hypotenuse)^2=16+49

(hypotenuse)^2=65

Taking square root both the sides.

hypotenuse=√(65)

The length of the hypotenuse is √(65) ft . Therefore the correct option is 4.