Question

the triangles are similar by the aa similarity postulate. find the value of x round to the nearest tenth

Answer 1

@Elsa213

Answer 2

e.e

@shadow

Answer 3

Let me actually do this the more orthodox way.

The side of 3 corresponds to what side on the larger triangle?

Answer 4

The side that has the length of 4.5?

Answer 5

Correct. Now if triangles are similar, what can we do?

Answer 6

I'm not sure?

Answer 7

Well, you can compare them.

Like so,

\[\frac{ 3 }{ 5 } = \frac{ 4.5 }{ x }\]

Answer 8

When triangles are similar, we can compare them. This is because you can get the measurements of the other triangle by multiplying by that common factor.

Like 3 is similar to 4. Multiply 3 by 1.5 and you get 4.5. You can technically get x by just multiply 5 by 1.5, but this is another way.

Cross multiply

\[\frac{ 3 }{ 5 } = \frac{ 4.5 }{ x }\]
\[3x = 22.5\]
\[x = 7.5\]

Answer 9

3 is similar to 4.5*

Answer 10

Also,

\[5 \times 1.5 = 7.5\]

Answer 11

You can say that the larger triangle is scaled up by 1.5 times the size.

Answer 12

Oh okay thank you!