Question

XYZ is an equilateral triangle and PQRS is a square. The figure has been cut and rearranged in the form of a trapezium.

What is the area of the triangle BCE in the given trapezium ABEF?

• A. $4c{m}^2$
• B. $8\sqrt{2}c{m}^2$
• C. $8c{m}^2$
• D. $16c{m}^2$

Answer 1

The correct option is C

$8c{m}^2$

BC = CE = 4 cm (Sides of the given square)

Since, $△$ BCE is right angled triangle and base = height = 4 cm

Area of triangle BCE = $\frac{1}{2}\times Base\times Height$

= $\frac{1}{2}\times 4\times 4$

= $8c{m}^2$