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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.

User Mehatab
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1 Answer

2 votes

Answer:

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

User Ashtonian
by
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