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In $\bigtriangleup$ XYZ, XKZ = 90O, XK = 15cm, XZ =&n...

$In \(\bigtriangleup\) XYZ, XKZ = 90O, XK = 15cm, XZ = 25cm and YK = 8cm. Find the area of \(\bigtriangleup\)XYZ$

In $\bigtriangleup$ XYZ, XKZ = 90O, XK = 15cm, XZ = 25cm and YK = 8cm. Find the area of $\bigtriangleup$ XYZ

A.

190 sq.cm

B.

20 sq.cm

C.

210 sq.cm

D.

160sq.cm

E.

320sq.cm

View answer & explanation

Correct answer is C

By Pythagoras, KZ2 = 252 - 52

KZ2 = (25 + 15)(25 - 15) = 400

KZ = $\sqrt{400}$ = 20

area of XYZ = $\frac{1}{2} \times 28 \times 15$

= 210 sq. cm

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