Question

Mathwiz wya?? pic below i need help asap

Answer 1

Answer:

Step-by-step explanation:

First, you gotta work out the hypotenuse of ABC, which is AC.

To do that, you need to figure out the scale factor between the two right-angled triangles. You can do that for this question because this is a similar shapes question.

12.5/5 = 2.5

The scale factor length between the two triangles is 2.5.

You can use 2.5 now to work out AC, so AC would be 13 x 2.5, which gives 32.5.

Now that you've got the hypotenuse and BC of ABC, you can use Pythagoras's theorem to work out the length of AB

Pythagoras's theorem = $a^2 + b^2 = c^2$

a = BC = 12.5

b = AB = we need to work this out

c = AC (the hypotenuse we just worked out) = 32.5

$12.5^2 + b^2 = 32.5^2$ Let's both simplify and rearrange this at the same time so that we have our b on one side.

$b^{2}$ = 1056.25 - 156.25

b = $\sqrt{(1056.25 - 156.25)}$

b = $\sqrt{900}$

b = AB = 30  We've found b or AB, now we can work out the perimeter of ABC.

Perimeter of ABC = AB + BC + AC

= 30 + 12.5 + 32.5

= 75  Here's the perimeter for ABC.