JAMB Mathematics 2009 Objective — Question 27

Question 27 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2009 Objective paper, with the correct answer and a full explanation.

If the hypotenuse of a right-angled isosceles triangle is 2 cm, what is the area of the triangle?

A. 1/sqrt2 cm^2
B. 1 cm^2Correct
C. sqrt2 cm^2
D. 2sqrt2 cm^2

Explanation

By Pythagoras' theorem, H^2 = x^2+x^2. 2^2=2x^2. x^2=2. x=sqrt2. Area = 1/2 bh = 1/2 x sqrt2 x sqrt2 = 1 cm^2.

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