Big Ideas Math: Modeling Real Life, Grade 6
BI
Big Ideas Math: Modeling Real Life, Grade 6 View details
2. Areas of Triangles
Continue to next subchapter

Exercise 21 Page 296

The area of a triangle is half the product of its base and its height.

4 23ft or 143 ft

Practice makes perfect

We want to find the length of the base b of the given triangle. From the figure, we know that the height of the triangle is 6 feet. We are also told that the area is 14 square feet. Let's see the diagram!

The area of a triangle is found by taking half of the product of its base and its height. A=1/2bh We can substitute A= 14 and h= 6 into this formula and solve for b, the side of the triangle. Let's do it!
A=1/2bh
14=1/2b( 6)
â–Ľ
Solve for b
14=b* 6/2
14=b*3
14/3=b* 3/3
14/3=b
b=14/3
The length of the base of the triangle is b= 143 feet. We can also write the answer as a mixed number!
b=14/3
b=12+2/3
b=12/3+2/3
b=4+2/3
b=4 23
The base of the triangle is 4 23 feet.