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If the hypotenuse of a right angle-triangle iso... - JAMB Mathematics 2009 Question

If the hypotenuse of a right angle-triangle 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
correct option: b

X2 + x2 = 22

2x2 = 4

x2 = 4/2

x2 = 2

x = +/-√2

Area of Δ = 1/2bh

= 1/2 x √2 x √2

= 2/2

= 1 cm2

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