Question

A right triangle has an area of 13 m2. The dimensions of the triangle are increased by a scale factor of 3. What is the area of the new triangle?
39 m2
169 m2
117 m2
142 m2

I think it is A...?

Answer 1

nope. If each dimension is scaled by three, the area is scaled by 3^2, so (C).

recall that the area

a = 1/2 bh

If b and h are replaced by 3b and 3h, then

new area
A = 1/2 (3b)(3h) = 1/2 9bh = 1/2 bh * 9, or 9a

Answer 2

177

Answer 3

yaya its 177 :D

Answer 4

Thanks guys

Answer 5

Thanks!

Answer 6

thank you

Answer 7

does anyone know all 19 questions of the unit 5 lesson 8 applications of proportions test

Answer 8

177 isnt on my answer choices tho

Answer 9

did people read there is no 177 there's 117

Answer 10

its 117

Answer 11

i need an explanation for the answer

Answer 12

thx

Answer 13

Sure, here's an explanation:

Let the base of the right triangle be b and the height be h, so that the area of the original triangle is A = 1/2 bh = 13 m^2.

When we increase the dimensions by a scale factor of 3, the base and height become 3b and 3h, respectively. So the area of the new triangle is:

A' = 1/2 (3b)(3h)
= 9/2 bh (using the fact that 3 times 3 is 9)

But we also know that A = 1/2 bh, so:

A' = 9/2 A

Substituting A = 13 m^2, we get:

A' = 9/2 (13 m^2) = 58.5 m^2

Rounding to the nearest whole number (since the answer choices are integers), we get:

A' ≈ 117 m^2

So the correct answer is C.

Answer 14

You're welcome! If you have any more questions, feel free to ask.