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?

Question

asked Sep 7, 2022 87.5k views

1 Answer

Matthew Kruskamp · Answer 1 · 2022-09-13T04:02:52+0000

Answer:
$7.48\ cm$

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

$\Rightarrow 9^2=5^2+h^2\\\Rightarrow h^2=9^2-5^2\\\Rightarrow h=√(81-25)\\\Rightarrow h=√(56)\\\Rightarrow h=7.48\ cm$

The length of the segment is
$7.48\ cm$