In ∆АВС, angle B = 90° BC = 8 cm and AC=17 cm. BE is a median of the triangle and M is the midpoint of BE. Find the area of ∆ BMC
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Answer:
Given: △ABC, ∠B=90∘ and BM is median AC
By Apollonius Theorem,
AB2+BC2=2(BM2+MC2)
82+62=2(BM2+52)
64+36=2(BM2+25)
50=BM2+25
BM2=25
∴BM=5 cm
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Step-by-step explanation:
The quadrilateral obtained by joining in order the midpoint of the sides of a rectangle is ______.
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