Question

Show that the triangle below is not a right-angled triangle.
(5x-8)
(3x - 5)
(2x + 3)
Diagram not drawn to scale

Answer 1

Step-by-step explanation:

A right triangle is a triangle in which one of the angles is a 90∘ angle.

$(5x - 8) + (2x - 5) + (2x + 3) = 180 \\ 9x - 10 = 180 \\ 9x = 190 \\ x = \frac{190}{9} \\ x = 21.11$

$(5x - 8) =97.56 \\ (2x - 5) =37.22 \\ (2x + 3) =45.22$

Since None of the angels is 90° , so the triangle is not a right triangle.