22-11-2016
Mathematics

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if QP=25, MN=35, and SR=13, calculate the area of LMN.

if QP25 MN35 and SR13 calculate the area of LMN class=

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MissPhiladelphia MissPhiladelphia

30-11-2016

The two triangles are similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. We use this fact in order to calculate the height of the bigger triangle. We do as follows:

QP / SL = MN / SL+SR
25 / SL = 35 / SL + 13
SL = 32.5

Area = height x base / 2
Area = SL x MN / 2
Area = 32.5 x 35 / 2 = 568.75

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