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Pearson Geometry Common Core, 2011

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Pearson Geometry Common Core, 2011 View details

Mid-Chapter Quiz

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Exercise 6 Page 642

Use the formula for the area of a triangle, A= 12bh.

7cm

Practice makes perfect

We are told that the base of a triangle is 10cm, and its area is 35cm^2. We are asked to find the height of the triangle h.

We will substitute these two given values, b = 10cm and A = 35cm^2, in the formula for the area of a triangle. Next, we are going to solve for h.

A=1/2bh

b= 10, A= 35

35=1/2( 10) h

▼

Evaluate right-hand side

MoveRightFacToNumOne

1/b* a = a/b

35=10/2h

Calculate quotient

35=5h

.LHS /5.=.RHS /5.

7=h

Rearrange equation

h=7

The missing height is 7cm.