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stepladder [879]
3 years ago
5

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

Mathematics
1 answer:
Olenka [21]3 years ago
5 0
The two triangles are similar. <span>When two </span>figures<span> are </span>similar<span>, 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
</span>
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Answer:

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