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The area of a triangle is half the product of its base and its height.
17 12ft or 352ft
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 20 feet long. We are also told that the area is 175 square feet. 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= 175, b= 20
a/c* b = a* b/c
Calculate quotient
.LHS /10.=.RHS /10.
a = 10* a/10
.a / 5./.b / 5.=a/b
Simplify quotient
Rearrange equation
The height of the triangle is 352 feet. We can also write the answer as a mixed number.
Rewrite 35 as 34+1
Write as a sum of fractions
Calculate quotient
Add terms
The height of the triangle is 17 12 feet.