In (bigtriangleup) XYZ, XKZ = 90O, XK = 15cm, XY = 35cm 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
Correct Answer: Option 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