Big Ideas Math: Modeling Real Life, Grade 6
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Exercise 10 Page 334

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

b=10mi

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 7 miles. We are also told that the area is 35 square miles. 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= 35 and h= 7 into this formula and solve for b, the side of the triangle. Let's do it!
A=1/2bh
35=1/2b( 7)
Solve for b
35=b* 7/2
35=b*3.5
35/3.5=b* 3.5/3.5
10=b
b=10
The length of the base b of the triangle is 10 miles.