Question

Trig please help.

Finding the area of similar right triangles whose scale factor is 3:1.
The first angle ABC shown has a base of 6 and a height of 9. Longest side 12.
The second angle PQR has a base of 3 and a height of 9. The longest side 9.

Answer 1

27, 13.5

Explanation:

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

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

where:

b is the base of the triangle

h is the height of the triangle

For the first triangle in this problem we have:

b = 6 is the base

h = 9 is the height

Therefore, the area of this triangle is:

`A_1=(1)/(2)(6)(9)=27`

For the second triangle in this problem, we have:

b = 3 is the base

h = 9 is the height

Therefore, the area of this triangle is:

`A_2=(1)/(2)(3)(9)=13.5`