Answer:
The triangle is a right triangle.
Step-by-step explanation:
In the given triangle, three sides are given.
First side = 15 cm
Second side = 17 cm
Third side = 8 cm
We need to determine whether the triangle is a right triangle. For a triangle to be a right angle, it must follow the Pythagoras theorem.
The hypotenuse is the longest side of a right triangle. Let 17 cm be the hypotenuse. So,
[tex]17^2=15^2+8^2[/tex]
Now solving RHS,
[tex]15^2+8^2=225+64\\\\=289[/tex]
Now solving LHS, 17² = 289
It implies, LHS = RHS
Hence, the triangle is a right triangle.