In the similar triangles below, what is the length of DE? with explaination In the similar triangles below, what is the length of AC? with explaination

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Step-by-step explanation:

The length of DE is 12 because you would multiply by 4 for each length and AC would be 4 because you have to divide by 4

AC=4cm and DE= 12cm

Step-by-step explanation:

So um I don't really understand the Pythagorean Theorom but what I do to solve for these kind of problems are subtract the hypotenuse from DEF which is 20cm from the leg which we know which is 16cm. So 20cm-16cm. You should get 4cm. So that goes for the last leg of the angle ABC. Then i multiplied the 2 legs from angle ABC which by the way are the lines that form the right angle at 90 degrees. the hypotenuse is the line directly across from the right angle. so I multiplied 3cm times 4 cm and I got 12 cm. So to check my work I subsituted the legs and pretended that I didn't know the hypotenuse into the Pythagorean Theorom which is a^2+b^2=c^2. A^2 and b^2 are the legs and c^2 is the hypotenuse. So when we do that we get 3^2*4^2=C^2 under the square root bar thingie. which gives us 5 for the hypotenuse of the angle ABC and subsituted the legs and the hypotenuse and did the same for the angle DEF. And so when we do that we get 12^2+16^2=C^2 which equals 20cm which we already have.

I really tried my best explaining that. I hope you do a good job.

i just took the test, the correct answer is .. 31.5 in.

x/3-10=8

x/3=18

x=48