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 9 Page 293

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

10mm

Practice makes perfect

We want to find the length of the leg b of the given right triangle. From the figure, we know that one leg of the right triangle is 6 millimeters long. We are also told that the area is 30 square millimeters. 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= 30 and h= 6 into this formula and solve for b, the missing leg — and base — of the triangle. Let's do it!
A=1/2bh
30=1/2b( 6)
â–Ľ
Solve for b
30=b(6)/2
30=b*3
30/3=b* 3/3
10=b
b=10
The base of the triangle is 10 millimeters.