Answer:
8 in 15 in 17 in.--- form a right angled triangle.
4 in 15 in 17 in.---- do not form a right angled triangle.
Step-by-step explanation:
We know that according to the PYTHAGOREAN THEOREM of right triangles we have:
[tex]c^2=a^2+b^2[/tex]
where c is the hypotenuse or the largest side of a triangle and a and b are other two legs of a right triangle,.
1)
8 in 15 in 17 in.
[tex]17^2=15^2+8^2\\\\289=225+64\\\\289=289[/tex]
Hence, the given measure of sides form a side of a right angled triangle.
2)
4 in 15 in 17 in.
Since,
[tex]17^2\neq 15^2+4^2[/tex]
Hence, the given measure of sides do not form a side of a right angled triangle.
