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The area of a triangle is half the product of its base and its height.
2 23in. or 83 in.
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= 2, b= 1.5
Rewrite 1.5 as 3/2
Multiply fractions
Multiply
a/c* b = a* b/c
LHS * 4=RHS* 4
Multiply
a/4* 4 = a
.LHS /3.=.RHS /3.
a = 3* a/3
Rearrange equation
The length of the height of the triangle is h= 83 inches. We can also write the answer as a mixed number!
Rewrite 8 as 6+2
Write as a sum of fractions
Calculate quotient
Add terms
The height of the triangle is 2 23 inches.