The base of a triangle exceeds the height by \( 7 \) centimeters. If the area is \( 114 \) square centimeters, find the length of the base and the height of the triangle.
Question
Answer
height = x
base = x+7
area = 114
114 = \(\frac { 1} { 2} \)×x×(x+7)
x\(^ { 2} \)+7x = 228
x=12
height = 12cm
base = 19cm
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