Question

First person to solve gets medal, fan, and help in another subject of your choice.

Answer 1

Use the pythagorean theorem.

Answer 2

51 would have to be hypotenuse, because it is the largest side.

Answer 3

So check if \[
51^2=45^2+24^2
\]is a false statement or not.

Answer 4

It's a true statement. @wio

Answer 5

so it's a right triangle

Answer 6

If it is true, then they form a right triangle.

Answer 7

So ,my reason is because the the statement is true it's a right triangle? @wio

Answer 8

but it's not a special right triangle, which question asked for

Answer 9

You can use the law of cosigns to show that the only triangle it can be is a right triangle.

Answer 10

Could you further explain why it's not a special right triangle? I don't really know much about triangles at all.

Answer 11

Oh wait, special right triangle? Let me look again.

Answer 12

The 2 types of special triangle are 45-45-90 and 30-60-90, and the sides have to have ratio of 1:1:2 or 1:2:root3, but none of them qualify

Answer 13

If it is a special right triangle, then one of the sides must be half the hypotenuse, so either:\[
2\times 45 = 51 \quad\text{or}\quad 2\times 24=51
\]If both statements are false, it is not a special right triangle.

Answer 14

Hmm, well that is for 30-60-90

For 45-45-90 we would need the non-hypotenuse sides to be equal:\[
45=24
\]

Answer 15

They're both false. Thank you. Could you both help me with a few more problems until I get the hang of this because I still can't do this on my own @wio @JunhaoZ

Answer 16

ok sure

Answer 17

first of all it doesn't resemble a right triangle because 20^2+25^2=30^2 is false, and second, when you simplify all three numbers, you will get 4,5,6, and that's not a Pythagorean triplet.

Answer 18

Okay, thank you, could you help me with 4 more? @JunhaoZ

Answer 19

I'll try

Answer 20

The ratio of the legs of a 30-60-90 right triangle is (short:long:hyp) 1:root3:2, so if 12.5 in is 1, then the hypotenuse would be double that, 25.

Answer 21

But the long side is a bit tricky. You multiply 12.5 with root3, which is about 21.65 in

Answer 22

any other questions?

Answer 23

Yes, 3 more.

Answer 24

@JunhaoZ

Answer 25

The short side is 22/2=11cm, and the long side would be about 19.05cm

Answer 26

Could you explain why/ how? @JunhaoZ

Answer 27

well, the ratio is 1:root3:2, and 22 is the 2 in the ratio, the short side is half of it, so 11. The long side is root3 times the short side, and 11 times root3 is about 19.05cm

Answer 28

Thank you, I only need help with two more.

Answer 29

Awesome job helping guys!

Answer 30

You need to open a fresh question for more help @sbuck98

Answer 31

No strong languages please

Answer 32

*Help

Answer 33

oh