Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
2. Areas of Triangles
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Exercise 6 Page 293

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

17 12ft or 352ft

Practice makes perfect

We want to find the length of the height h of the given triangle. From the figure, we know that the base of the triangle is 20 feet long. We are also told that the area is 175 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= 175 and b= 20 into this formula and solve for h, the height of the triangle. Let's do it!
A=1/2bh
175=1/2( 20)h
â–Ľ
Solve for h
175=20/2h
175=10h
175/10=10h/10
175/10=h
175 Ă· 5/10 Ă· 5=h
35/2=h
h=35/2
The height of the triangle is 352 feet. We can also write the answer as a mixed number.
h=35/2
h=34+1/2
h=34/2+1/2
h=17+1/2
h=17 12
The height of the triangle is 17 12 feet.