contestada

The height of a triangle is 5 m less than it’s base. The area of the triangle is 42 m^2 what is the length of the base

Respuesta :

muhammadazharhussain

Answer:

12 meters

Step-by-step explanation:

Let b = base

then

b-5 = altitude

since we know that the area for any triangle is

(1/2)bh

where

b is base

h is height or altitude

(1/2)b(b-5) = 42

b(b-5) = 84

b^2-5b = 84

b^2-5b-84 = 0

(b-12)(b+7) = 0

b = {12, -7}

toss out the negative solution leaving:

b = 12 meters

gufeliz1965

Here is the set up:

A = (bh)/2

42 = [b • (b - 5)]/2

This is all you need. Solve the equation for b to find your answer.

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