Question

The triangle $\mathrm{ABC}$ formed by $\mathrm{AB}=5\mathrm{cm},\mathrm{BC}=8\mathrm{cm},\mathrm{AC}=4\mathrm{cm}$ is

• A. an isosceles triangle only
• B. a scalene triangle only
• C. an isosceles right triangle
• D. scalene as well as a right triangle

Answer 1

The correct option is B

a scalene triangle only

Find the type of triangle $\mathrm{ABC}$ formed by$\mathrm{AB}=5\mathrm{cm},\mathrm{BC}=8\mathrm{cm},\mathrm{AC}=4\mathrm{cm}$:

A scalene triangle is a triangle in which all three sides are of different lengths, and all three angles are of different measures. However, the sum of all the interior angles is always equal to$180°$

Here the sides are$\mathrm{AB}=5\mathrm{cm},\mathrm{BC}=8\mathrm{cm},\mathrm{AC}=4\mathrm{cm}$ which are all different.

Hence the triangle is a scalene triangle.

$\therefore$The correct option is B.