# In an isosceles triangle LMN, LM=39cm, NL=39cm and MN = 27cm, how do you calculate the height of the triangle LMN?

##### 2 Answers

Mar 15, 2017

I got

#### Explanation:

Consider the figure:

You can apply Pythagora's Theorem to the yellow triangle and write:

rearranging:

Mar 15, 2017

Assuming a base of

#### Explanation:

A line segment bisecting the base and perpendicular to the base and terminating at the point

By the Pythagorean Theorem

using a calculator this can be evaluated as 9approximately)