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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.

Kate plans to use four triangles like the one shown to form a diamond shape. For her-example-1

1 Answer

4 votes

Answer:

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.

User Danila Plee
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