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Please Help!

The base of a triangle is 3 inches shorter than its height. The area of the triangle is 77 square inches. Find the base and the height

Explain Step-by-step please
I need the work

User Kcats
by
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1 Answer

5 votes

Answer:

The base is
11\ in and the height is
14\ in

Explanation:

we know that

The area of the triangle is equal to


A=(1)/(2)(b)(h)

where

b is the base of triangle

h is the height of triangle

In this problem


b=h-3 ----> equation A


A=77\ in^(2)

so


77=(1)/(2)(b)(h)


154=(b)(h) -----> equation B

Substitute equation A in equation B


154=(h-3)(h)


h^(2)-3h-154=0

Solve the quadratic equation by graphing

The solution is
h=14\ in

see the attached figure

Find the base b


b=14-3=11\ in

Please Help! The base of a triangle is 3 inches shorter than its height. The area-example-1
User Destan
by
7.7k points

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