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

Answer:

24, 40

Step-by-step explanation:

The area of a triangle is given by the formula

$A=\frac{1}{2}bh$

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

$A_1=\frac{1}{2}(6)(8)=24$

For the 2nd triangle here, we have:

b = 8 is the base

h = 10 is the height

So, the area of the triangle is

$A_2=\frac{1}{2}(8)(10)=40$