Question

The base of a right triangle. is 48 cm and its hypotenuse is 50 cm long. The area of the triangle is
(a) 168 cm²
(b) 252 cm²
(c) 336 cm²
(d) 504 cm²

Answer 1

(c) 336 cm²

Let $△$PQR be a right-angled triangle and PQ$\perp$QR.
Now,
$$\begin{gathered} PQ=\sqrt{P{R}^2-Q{R}^2} \\ =\sqrt{{50}^2-{48}^2} \\ =\sqrt{2500-2304} \\ =\sqrt{196} \\ =14\mathrm{cm} \end{gathered}$$

$\therefore \mathrm{Area}\mathrm{of}\mathrm{triangle}=\frac{1}{2}\times QR\times PQ=\frac{1}{2}\times 48\times 14=336{\mathrm{cm}}^2$