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Trigonometry
Question

The base of a triangle exceeds the height by \( 7 ...

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. 

 

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

Solution
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