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Home » Past Questions » Mathematics » In \(\bigtriangleup\) XYZ, XKZ = 90O, XK = 15cm, XY = 35cm and YK = 8cm. Find th...

In \(\bigtriangleup\) XYZ, XKZ = 90O, XK = 15cm, XY = 35cm and YK = 8cm. Find th...

Question

In \(\bigtriangleup\) XYZ, XKZ = 90O, XK = 15cm, XY = 35cm and YK = 8cm. Find the area of \(\bigtriangleup\)XYZ

Options

A) 190 sq.cm

B) 20 sq.cm

C) 210 sq.cm

D) 160sq.cm

E) 320sq.cm

The correct answer is C.

Explanation:

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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