Question

How do you find the missing height of a triangle?

Answer 1

Plug your values into the equation A=1/2bh and do the math. First multiply the base (b) by 1/2, then divide the area (A) by the product. The resulting value will be the height of your triangle.

Answer 2

Use the Pythagorean theorem

Explanation:

The pythagorean theorem is
`a^(2) +b^(2) =c^(2)` where a is a height, b is a height, and c is the hypotenuse, which is the longest side of a triangle. For example, if the triangle has two side with lengths of three and four we would put them into the equation to get:

`3^(2) +4^(2) =c^(2)`

Simplify the equation to get:

`9+16=c^2`

Add 16 and 9 to get 25 and take the square root of both sides:

`√(25) =c`

The sqrt of 25 is 5. Therefore, the length of the hypotenuse, or c, is 5.