Question

A right triangle has one angle that measure 23. The adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm. What is the approximate area of the triangle?

Answer 1

it’s B on edge

Explanation:

Answer 2

we know that

The area of a right triangle is equal to

`Area=(1)/(2) (Leg1*Leg2)`

In this problem

`Leg\ 1=27.6\ cm \\ Hypotenuse=30\ cm\\ Leg\ 2=?`

Applying the Pythagorean Theorem

`Hypotenuse^(2) =Leg\ 1^(2) +Leg\ 2^(2) \\ Leg\ 2^(2)=Hypotenuse^(2)-Leg\ 1^(2)\\ Leg\ 2^(2)=30^(2) -27.6^(2) \\ Leg\ 2^(2)=138.24\\ Leg\ 2=11.76\ cm`

Find the area

`Area=(1)/(2) (27.6*11.76)`

`Area=162.29\ cm^(2)`

therefore

the answer is

the approximate area of the triangle is
`162.29\ cm^(2)`