Question

Kate plans to use four triangles like the one shown to form a diamond

shape.
For her plan to work, the triangle must be a right triangle.
Determine whether the triangle is a right triangle.

Answer 1

The triangle is a right triangle.

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,

`17^2=15^2+8^2`

Now solving RHS,

`15^2+8^2=225+64\\\\=289`

Now solving LHS, 17² = 289

It implies, LHS = RHS

Hence, the triangle is a right triangle.