Question

What is the length of the hypotenuse of the right triangle ABC in the figure?

A. 7.2
B. 11.0
C. 6.2
D. 5.8

Mark for review (Will be highlighted on the review page)

Answer 1

Option A.
`7.2\ units`

Explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ACD

`cos(A)=(AD)/(AC)=(5)/(6)` ------> equation A

In the right triangle ABC

`cos(A)=(AC)/(AB)=(6)/(AB)` ------> equation B

equate equation A and equation B and solve for AB

`(5)/(6)=(6)/(AB)`

`AB=6*6/5=7.2\ units`