Question

Please answer the problem in the picture below.

Answer 1

C) 6 cm.

Explanation:

Let's define some variables.
Let AH = h, MH = x.

The attached file is a drawing of the givens.

A triangle's area is found using the formula
`A = \frac{b * h}2`, where:
A = The area of the triangle
b = The base of the triangle
h = The height of the triangle (In our case, AH)

We'll use the given lengths and area of triangle TAH to find the height:

`12 = \frac{8 * h}2\\12 = 4h\\h = 3`

We will now do the same but with triangle MAH to find MH:

`9 = \frac{3 * x}2\\18 = 3x\\x = 6`

The length of MH is 6 cm.