Determine if a triangle with the given dimensions is a right triangle. If it is, which angle is the right angle?

Ab=5 square root 3
BC=10
CA=5

Question

Determine if a triangle with the given dimensions is a right triangle. If it is, which angle is the right angle?

Ab=5 square root 3 
BC=10
CA=5

radar · Answer

What is your plan in making a determination ?  One thing we do know about a right triangle is the square of the longest side is equal to the sum of the square of the other two sides.

radar · Answer

Hint:  the side that is 10 is the longest side.

radar · Answer

What is the square of 10?

anonymous · Answer

3.16

radar · Answer

That was the square root of 10, what is 10 squared?

anonymous · Answer

oh 100

radar · Answer

Yes now we need to square each of the other two sides and add them to see if the add up to 100, if they do it is a right triangle.

radar · Answer

What is 5 squared?

anonymous · Answer

25?

radar · Answer

Yes, remember we have 25.
Now for the confusing one what is:$$(5\sqrt{3})^{2}$$

anonymous · Answer

225?

radar · Answer

|dw:1406762953873:dw|A good try but you cant just multiply 5 times 3, when it is the square root of 3.