Assess It #40

Question

For the multiple choice question, choose the correct answer from the choices below. The formula for the area of a Triangle is: A=(12)bh where b is the base of the triangle and h is the height of the triangle. If all measurements are in meters, find the height of the triangle if the Area is 78 square meters and the base is 12 meters.

Answer 1

A = 1/2*b*h, where "b" is the base, "h" is the height, and * represents multiplication.

We are given the area is 78 meters, which means A=78. Also the base is given to be 12 meters, which means b=12. Thus we need to solve for the missing variable in the equation -- the height.

 

Step 1: Set up your equation

 

A=1/2*b*h

 

Step 2: Plug in the known variables

 

78=1/2*12*h

 

Step 3: Simplify and solve for "h"

 

78=6*h 

78/6=h

h=13. 

 

Note: 1/2*12=6 and I divided by 6 from the right hand side to solve for h. 

 

This means the height is 13 meters.