Question

Trig please help.

Finding the area of similar right triangles whose scale factor is 3:5.
The first angle XYZ shown has a base of 6 and a height of 8. Longest side 10.
The second angle MNO has a base of 8 and a height of 10. The longest side 12.

Answer 1

24 and 40

Explanation:

The area of a triangle is given by the following formula:

`A=(1)/(2)bh`

where:

A is the area

b is the base of the triangle

h is the height

In this problem, the 1st triangle has:

b = 6 is the base

h = 8 is the height

Therefore, the area of the triangle is:

`A_1=(1)/(2)(6)(8)=24`

The second triangle of this problem has instead:

b = 8 is the base

h = 10 is the height

Therefore, the area of the triangle is:

`A_2=(1)/(2)(8)(10)=40`