Question

Trig please help.

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

Answer 1

24, 40

Explanation:

The area of a triangle is given by the formula

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

where

b is the length of the base

h is the length of the height

For the 1st triangle here, we have:

b = 6 is the base

h = 8 is the height

So, the area of the triangle is

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

For the 2nd triangle here, we have:

b = 8 is the base

h = 10 is the height

So, the area of the triangle is

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