Question

A triangle has side lengths 10, 15, and 7. Is the triangle acute, obtuse, or right? Explain.

Answer 1

acute angled triangle

Answer 2

If A^2 + B^2 = C^2 is satisfied, it is a right triangle.
If A^2 + B^2 > C^2 is satisfied, it an acute triangle.
If A^2 + B^2 < C^2 is satisfied, it an obtuse triangle.

Where A and B are any 2 sides that isn't the longest and C is the longest side.

For #1,

5^2 + 2^2 _ 6^2
25 + 9 _ 36
34 < 36

So it is an obtuse triangle.

You can use this for the other two as well.

Answer 3

i put acute but my teacher said that it was incorrect...

Answer 4

\[10^2+15^2=7^2\]
\[100+225\neq49\]
\[325>49\]

Answer 5

unless i am doing it wrong.....

Answer 6

u made a mistake in choosing sides