SOLUTION: The height of a triangle is 8 inches less than its base. The area of the triangle is 192 square inches. the height of the triangle is __ inches and the base of the triangle is __ i
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Question 16701: The height of a triangle is 8 inches less than its base. The area of the triangle is 192 square inches. the height of the triangle is __ inches and the base of the triangle is __ inches.
Answer by bam878s(77) (Show Source): You can put this solution on YOUR website!
let x = the height any y = the base.
We know that x = y - 8 and = 192
Pluggin the x = y - 8 into the second equation yields
= 192
or
= 192
and
= 0
then use the quadratic equation to solve for y
y = 4 + 20 or y = 4 - 20. Since we are dealing with length then a negative value doesn't make sense so y = 4 + 20 = 24.
Now use y to solve for x.
x = y - 8 = 24 - 8 = 16.
So x = 16 = the height
and
y = 24 = the base
Check: 16 * 24 = 384
384 / 2 = 192
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