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 22 Page 296

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

2 23in. or 83 in.

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 1.5 inches long and that the area is 2 square inches. Let's see the diagram that illustrates the situation.

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= 2 and b= 1.5 into this formula and solve for h, the height of the triangle. Let's do it!

A=1/2bh
2=1/2( 1.5)h
â–¼
Solve for h
2=1/2(3/2)h
2=1* 3/2* 2* h
2=3/4* h
2=3* h/4
2* 4=3* h/4 * 4
8=3* h/4 * 4
8=3* h
8/3=3* h/3
8/3=h
h=8/3

The length of the height of the triangle is h= 83 inches. We can also write the answer as a mixed number!

h=8/3
h=6+2/3
h=6/3+2/3
h=2+2/3
h=2 23

The height of the triangle is 2 23 inches.