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In an isosceles right triangle, the hypotenuse is 12. What is the length of one (1) of the sides?
- a)6√2
- b)2√6
- c)2√4
- d)2√3
- e)√3
Correct answer is option 'A'. Can you explain this answer?
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In an isosceles right triangle, the hypotenuse is 12. What is the leng...
The correct answer is a. By definition, an isosceles triangle has a hypotenuse, c, and two legs, a and b, that are congruent. Use the measure of the hypotenuse given in the problem (12), and the Pythagorean theorem, α2 + b2 = c2, to determine the length of one of the legs. Remember that α = b:
α2 + a2 = 122
2α2 = 144
α2 = 72
α = √72
The √72 can be reduced to 6√2.
α2 + a2 = 122
2α2 = 144
α2 = 72
α = √72
The √72 can be reduced to 6√2.
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In an isosceles right triangle, the hypotenuse is 12. What is the length of one (1) of the sides?a)6√2b)2√6c)2√4d)2√3e)√3Correct answer is option 'A'. Can you explain this answer?
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