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MATHEMATICS

JAMB 2009 - Question 27

Mathematics 2009 JAMB Past Questions - Question 27: If the hypotenuse of a right angled isosceles triangle is 2cm ,what is the are of the triangle ?

Choose the correct answers from the options given.

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

A: √1/2

B: 1cm²

C: √ 2 cm²

D: 2 √2 cm²

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Correct Answer

Explanation

Sin 45 = y/2y = 2sin 45y = 2 (√1/2)y = √2/2 x √2/2y = 2√2 /2 y = √2since it is an isosceles trianglex = √2= 1/2bh= 1/2 x √2 x √2= 1/2 x 2= 1cmsup2