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adoni [48]
3 years ago
8

An isosceles triangle with legs of 9 cm and a base of 10 cm in length has a median drawn from its vertex angle to its base. What

is the length of this segment?
Mathematics
1 answer:
Leokris [45]3 years ago
6 0

Answer: 7.48\ cm

Step-by-step explanation:

Given

The equal side of two isosceles triangle are 9\ cm long

Base of the triangle is 10\ cm long

Median divides the base into two equal halves

from the figure, it can be written

\Rightarrow 9^2=5^2+h^2\\\Rightarrow h^2=9^2-5^2\\\Rightarrow h=\sqrt{81-25}\\\Rightarrow h=\sqrt{56}\\\Rightarrow h=7.48\ cm

The length of the segment is 7.48\ cm

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