If the hypotenuse of a right-angle isosceles triangle is 2, what is the length of each of the other side?

Assessment: WAEC SSCE - General Mathematics - 1996 (Objective) Subject: General Mathematics

Question 1 Report

If the hypotenuse of a right-angle isosceles triangle is 2, what is the length of each of the other side?
Answer Details
In a right-angle isosceles triangle, the two legs are congruent to each other. Let x be the length of each leg. By the Pythagorean theorem, we know that: x² + x² = 2² Simplifying the equation gives: 2x² = 4 Dividing both sides by 2, we have: x² = 2 Taking the square root of both sides gives: x = √2 Therefore, the length of each leg is √2, which is approximately 1.41. So, the correct answer is not in the options given, but it is approximately equal to, √2.
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Read lesson note on Surds (radicals) (WAEC)
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