Question

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?

Answer 1

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`