a triangle has side lengths 10,15 and 7 is the triangle acute,obtuse,or right show your work and explain please tell me how to get the answer im terrible at geometry

Question

blurbendy · Answer

Use these rules:

1) a^2 + b^2 = c^2 => right triangle 
(2) a^2 + b^2 > c^2 => acute-angled 
(3) a^2 + b^2 < c^2 => obtuse-angled 

im guessing a = 10
b = 15
and c = 7

but it's hard to say without a picture...

anonymous · Answer

thye didnt give me a pic

anonymous · Answer

ok thanks what would you say it is

anonymous · Answer

well i keep getting different answers i am so confused

anonymous · Answer

325

blurbendy · Answer

Actually, hold on, I explained this wrong

The two shortest sides are going to be a and b

blurbendy · Answer

so, what is 10^2 + 7^2 ?

anonymous · Answer

149

blurbendy · Answer

Good, and 15^2 = 225

So, 149 < 225

According to our rules, what's the answer?

anonymous · Answer

i have no idea

blurbendy · Answer

1) a^2 + b^2 = c^2 => right triangle 
(2) a^2 + b^2 > c^2 => acute-angled 
(3) a^2 + b^2 < c^2 => obtuse-angled

blurbendy · Answer

is 149 = 225?

anonymous · Answer

no its less would it be acute

blurbendy · Answer

It is less than, but the less than symbol is "<" not ">", so it's obtuse.

anonymous · Answer

oops yeah i knew that hehe what would put as th explanation

blurbendy · Answer

I'm not sure what you mean.

anonymous · Answer

well i have to explain why thats the answer

blurbendy · Answer

because the pythagorean theorem says so.  If the sum of the two smaller sides squared are less than the hypotenuse squared, then the triangle must be obtuse.

anonymous · Answer

oh ok thank you i gave you a medal

blurbendy · Answer

no problem, any time.  and thanks!

anonymous · Answer

your welcome thank you