Question

Help please? Triangle ABC is equilateral and has sides of length 4. Triangle DEF has the same perimeter as Triangle ABC but is a right triangle. If the length of all sides of Triangle DEF are integers, what is the length of the hypotenuse of Triangle DEF?

A) 4
B) 5
C) 6
D) 7
E) 8

Answer 1

Triangle DEF has the same perimeter as Triangle ABC

so Perimeter of ABC?

Answer 2

The perimiter of ABC is 12 but how do you find the hypotenuse from that?

Answer 3

*perimeter

Answer 4

so the perimeter of DEF is 12 am i right?

Answer 5

Yes

Answer 6

Is there a pythagorean triple or something?

Answer 7

yes we want to find a pythagorean triple like (x,y,z) for which x+y+z=12

Answer 8

ohhh 3, 4, 5?

Answer 9

Exactly
u r very smart...

Answer 10

Thanks for your help :)

Answer 11

glad to help :)