Find the perimeter and the area of a right triangle if the shortest side is 5cm and the longest side is 13cm

Question

ash2326 · Answer

@tthomas0557 do you know the Pythagoras theorem?

anonymous · Answer

No I sure don't

ash2326 · Answer

OK, I'll explain you :)

anonymous · Answer

Thank You :)

ash2326 · Answer

Pythagoras theorem states that for a right triangle. the square of the hypotenuse ( largest side) is equal to the sum of the squares of the other two sides.
$$AC^2=AB^2+BC^2$$
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Do you understand this?

anonymous · Answer

Yes I am following!!

ash2326 · Answer

Find the perimeter and the area of a right triangle if the shortest side is 5cm and the longest side is 13cm
Which is the longest side here?

anonymous · Answer

AC?

ash2326 · Answer

good, now the shortest side could be either AB or BC, it doesn't matter here.
Let BC=5
Can you find AB?

anonymous · Answer

Forgive me but see... I was following right until you asked me if I coulf find AB.. Its like I don't know what I should do....

ash2326 · Answer

Pythagoras theorem states that for a right triangle. the square of the hypotenuse ( largest side) is equal to the sum of the squares of the other two sides.
$$AC^2=AB^2+BC^2$$

anonymous · Answer

Oh Ok... can you give me a sec. I think I know let me work it out and I will give you an answer....

anonymous · Answer

would it happen to be 16?

ash2326 · Answer

check again :)

anonymous · Answer

hummm ok... let me see

anonymous · Answer

Ok.... I tried a different way of working out the problem... what about 144?

ash2326 · Answer

$$AC^2=144$$
so
$$AC=\sqrt{144}$$

anonymous · Answer

I have a super silly question but that symbol means?? I have not done this type of math is several years. I am a little rusty!

anonymous · Answer

It just means that your anser has been squared correct?

ash2326 · Answer

square root of 144

anonymous · Answer

But the answer is 144 correct?

ash2326 · Answer

square root of 144= 12
cause
$$12^2=144$$

anonymous · Answer

ohhhhh So the answer is 12?? I forgot to square the 144

ash2326 · Answer

yeah AB=12
can you find  the are and perimeter now?

anonymous · Answer

ewww. Ok.. I think I can figure it out.. Lets see..

ash2326 · Answer

cool :) I'm here to help you in case you need my help

anonymous · Answer

ok.. SO I have that 30 is the area and also for the perimeter???

anonymous · Answer

@ash2326  ok.. SO I have that 30 is the area and also for the perimeter???

ash2326 · Answer

yeah, you're correct:D