In \(\bigtriangleup\) XYZ, XKZ = 90O, XK = 15cm, XZ = 25cm and YK = 8cm. Find the area of \(\bigtriangleup\)XYZ
Attached Figure / Diagram
A
190 sq.cm
B
20 sq.cm
C
210 sq.cm
D
160sq.cm
E
320sq.cm
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #32797)