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

Question

3 years ago

8

is the length of this segment?

1 answer:

Leokris [45] · Answer 1 · 2022-11-13T09:53:50+03:00

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 $7.48\ cm$