Question

How much longer is the hypotenuse of the triangle than its shorter leg?

Answer 1

Answer:4FT IS THE RIGHT ANSWER

Explanation:

Answer 2

This is an incomplete question, here is a complete question and image is also attached below.

How much longer is the hypotenuse of the triangle than its shorter leg?

a. 2 ft

b. 4 ft

c. 8 ft

d. 10 ft

Answer : The correct option is, (b) 4 ft

Explanation:

Using Pythagoras theorem in ΔACB :

`(Hypotenuse)^2=(Perpendicular)^2+(Base)^2`

`(AB)^2=(AC)^2+(BC)^2`

Given:

Side AC = 6 ft

Side BC = 8 ft

Now put all the values in the above expression, we get the value of side AB.

`(AB)^2=(6)^2+(8)^2`

`AB=√((6)^2+(8)^2)`

`AB=10ft`

Now we have to calculate the how much longer is the hypotenuse of the triangle than its shorter leg.

Difference = Side AB - Side AC

Difference = 10 ft - 6 ft

Difference = 4 ft

Therefore, the 4 ft longer is the hypotenuse of the triangle than its shorter leg.