A right triangle has an area of 13^2. The dimensions of the triangle are increased by a scale factor of three. What is the area of the new triangle?
a. 39^2
b. 169^2
c. 117^2
d. 142^2
i think the answer is A but i am not sure! any help is appreciated
Steve, you're wrong. It's C, I did the test and it was c
No, smh is wrong. It doesn’t change every day not even every month it stays the same, not forever. But, for a long time for example I‘ve seen a test stay the same for almost a decade now. ~you have got to be kidding me
smh
just took the test and the tests don't change that often.
To find the area of a triangle, you can use the formula A = 1/2 * base * height.
In this case, you know the area of the original triangle is (13)^2 = 169.
Now, the dimensions of the triangle are increased by a scale factor of three. This means that every side length is multiplied by three.
Let's say the base and height of the original triangle are b and h, respectively.
The new base and height will be 3b and 3h.
Therefore, the area of the new triangle can be calculated as follows:
A_new = 1/2 * (3b) * (3h)
= 9 * (1/2 * b * h)
= 9 * A
So, the area of the new triangle will be 9 times the area of the original triangle.
Substituting A = 169, we have:
A_new = 9 * 169
= 1521
Therefore, the area of the new triangle is 1521.
Looking at the options provided:
a. 39^2 (1521 is not equal to 39^2)
b. 169^2 (1521 is equal to 169^2)
c. 117^2 (1521 is not equal to 117^2)
d. 142^2 (1521 is not equal to 142^2)
Therefore, the answer is b. 169^2.
smh is right....
if the dimensions increase by a factor of 3, the area increases by a factor of 3^2, so A is correct.
13^2 * 3^2 = (13*3)^2 = 39^2
Hammy
I know this is 2 years later and about to be three but you do know that the test changes everyday and that post was a month before yours lollll