SOLUTION: the altitude of a triangle is 5 m less than its base. The area of the triangle is 42 meters squared find the base.
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Question 443371: the altitude of a triangle is 5 m less than its base. The area of the triangle is 42 meters squared find the base.
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
The altitude (AKA height) can be represented as b-5. The base is b.
Recall that the formula for area is
}
Let's factor this:
What adds to -5 and multiplies to -84?
-12 and 7.
So we can factor this as (b-12)(b+7)
So b =-7, b = 12
A negative length doesn't make sense so...
The base is 12.
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