Big Ideas Math: Modeling Real Life, Grade 6
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Exercise 11 Page 334

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

2.5cm or 52cm

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 4 centimeters long and that the area is 5 square centimeters. 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= 5 and b= 4 into this formula and solve for h, the height of the triangle. Let's do it!
A=1/2bh
5=1/2( 4)h
Solve for h
5=4h/2
5=2h
5/2=2h/2
2.5=h
h=2.5
The length of the height h of the triangle is 2.5 centimeters.