# Height of a triangle

#### ter27

##### New member
My daughter was given this problem in an exam. She could not do it and was never given the solution. I can do the problem using trig but she has not been taught trig yet. She says that it can be done without trig using a more simple method that she doesn't know. Could somebody please explain how it could be done without using trig. It would be most appreciated

#### mente oscura

##### Well-known member
Hello.

Lo that I think simplest is:

$$area=\dfrac{6*8}{2}=24$$

By placing the right triangle to another position.

Then:

$$24=\dfrac{10*h}{2}$$

$$h=4.8$$

Regards.

#### MarkFL

$$\displaystyle \frac{h}{6}=\frac{8}{10}$$
$$\displaystyle h=\frac{48}{10}=4.8$$
$$\displaystyle \frac{h}{8}=\frac{6}{10}$$
$$\displaystyle h=\frac{48}{10}=4.8$$