Question

Medal and Fan

Triangle PTG has side lengths of 18 cm, 27 cm, and 13 cm. Which type of triangle is triangle PTG?

Answer 1

@jjuden Well, does \[x^{2}+y^{2}=z^{2}\] when z=27 cm?

Answer 2

??

Answer 3

If it is a right triangle than \[18^{2}+13^{2}=27^{2}\]

Which it does not, so we know it is not a right triangle. Not how could you tell if it was acute?

Answer 4

idk

Answer 5

What level of math are you taking?

Answer 6

geometry

Answer 7

Okay. Well, the least math way is to just make things that represent the sides and see how you can make a triangle. The math way can be done by checking angles.

Answer 8

We have three general types of triangles: right, isosceles and scalene. Is this the type you have been learning about? There are the subtypes acute, equilateral, and obtuse.

Answer 9

Opps, sorry switch right and equilateral @jjuden

Answer 10

ok

Answer 11

18
13
27

It has been established that the triangle is not right.

So, the remaining task is to determine if the triangle is acute or obtuse.

Answer 12

@jjuden

Would you give the squares of each of these three sides? Then, I'll post the theorem we need. Okay?

18² =

13² =

27² =

Answer 13

324=18
169=13
729=27

Answer 14

•When the sum of the squares on two sides of a triangle is less than the square on the third side, then the triangle is obtuse angled .

Answer 15

Let's see if that is the case here.

Answer 16

13² + 18² < 27²
169 + 324 < 729

So, the triangle is obtuse.

Answer 17

@jjuden For all I know, the answer to the question may be scalene.

Are the instructions to classify the triangle by angles or by sides.

Without more info, I can't say for sure what the answer is.

If you have options, maybe you can decide.

Answer 18

there is no scalene so it is obtuse :) thank you

Answer 19

You are welcome.