If the hypotenuse of a right-angled isosceles triangle is 2cm. What is the area of the triangle?
A
1/√2 cm2
B
1 cm2
C
√2 cm2
D
2√2 cm2
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
X\(^2\) + x\(^2\) = 2\(^2\)
2x\(^2\) = 4
x\(^2\) = 4/2
x\(^2\) = 2
x = +/-\sqrt2
Area of \Delta = 1/2bh
= 1/2 x \sqrt2 x \sqrt2
= 2/2
= 1 cm\(^2\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #9329)