SOLUTION: 1.) If a triangle has sides of lengths 5, 12, and 13, is the triangle right? 2.) Refer to right triangle ACB. If BC = 5 and AB = 6, what is AC in simplified form? 3.) Refer to

Question 411076: 1.) If a triangle has sides of lengths 5, 12, and 13, is the triangle right?
2.) Refer to right triangle ACB. If BC = 5 and AB = 6, what is AC in simplified form?
3.) Refer to Triangle DFE. If DM = 4 and ME = 9, what is FM in simplified form?
4.) Refer to Triangle DFE. If DM = 6 and DE = 18, what is FM in simplified form?

5.) Refer to right triangle ACB. If AC = 6 and BC = 8, what is AB in simplified form?

6.) Refer to right triangle ACB. If AC = 4 and AB = 5, what is BC in simplified form?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
If a triangle has sides 5, 12, 13, it is a right triangle since .

For the other five problems, use the Pythagorean theorem: where c is the hypotenuse and a,b are the lengths. I'll let you do these problems with the hint I've provided. If one of your provided lengths is the hypotenuse you'll have to rearrange the variables, i.e. , etc.
RELATED QUESTIONS
Please, help me with these: 8.)If a triangle has sides of lengths 5, 12, and 13, is the... (answered by ankor@dixie-net.com)

in the diagram, right triangle ABC is inscribed in circle O, angle ACB is a right angle,... (answered by cleomenius)

If a right triangle has sides of 12 and 5, what is the hypotenuse side equal to? If a... (answered by stanbon,richwmiller)

in a parallelogram ABCD the diagonal AC is at right angle to AB if AB =12CM and BC =13 CM (answered by pallavi)

A triangle has sides with lengths of 5 meters, 11 meters, and 12 meters. Is it a right... (answered by math-vortex)

A triangle has sides with lengths of 5 feet, 12 feet, and 13 feet. Is it a right... (answered by stanbon,Amrata1,MathTherapy)

Triangle ABC is similar to triangle MNP. Angle C is a right angle. AC = 5, BC = 12, and... (answered by tommyt3rd)

if the lengths of the sides of a triangle are 4 inches, 5 inches, and 6 inches, is the... (answered by Fombitz)

Triangle ABC is a right triangle. If side AC=5 and side BC=6, What is the measure of side (answered by checkley71)