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 5 Page 293

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

8cm

Practice makes perfect

We want to find the length of the base b of the given right triangle. From the figure, we know that one leg of the right triangle is 6 centimeters long. We are also told that the area is 24 square centimeters. 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= 24 and h= 6 into this formula and solve for b, the base of the triangle. Let's do it!
A=1/2bh
24=1/2b( 6)
â–Ľ
Solve for b
24=1/2* 6* b
24=6/2* b
24=3* b
24/3=3* b/3
8=3* b/3
8=b
b=8
The base of the triangle is 8 centimeters.