Dean made a triangular wall shelf.
The sides of the triangle measure
14 inches, 8 inches and 8 inches.
Is the shelf a right triangle?
Explain.

Respuesta :

Answer:

The shelf is not a right triangle

Step-by-step explanation:

Given

[tex]Sides = 14, 8, 8[/tex]

Required

Determine if it is a right triangle

To do this, we make use of Pythagoras theorem which implies that; the square of the longest side = the sum of the square of the two other sides.

So, we have:

[tex]14^2 = 8^2 + 8^2[/tex]

Evaluate all squares

[tex]196 = 64 + 64[/tex]

[tex]196 = 128[/tex]

The above is not true because:

[tex]196 \ne 128[/tex]

Hence, the shelf is not a right triangle