Fthe hypotenuse of a 45°-45°-90° triangle is 13, what is the length of one of the legs? a. 2004-04-01-04-00_files/i0360004.jpg b. 2004-04-01-04-00_files/i0360003.jpg c. 2004-04-01-04-00_files/i0360001.jpg d. 2004-04-01-04-00_files/i0360002.jpg

F the hypotenuse of a 45°-45°-90° triangle is 13.
We can see that this is an isosceles triangle,
and its two legs are equal.
From Pythagorean theorem we can write
(leg)² + (leg)² = (hypotenuse)²
2(leg)²= (hypotenuse)²
2(leg)²= 13²
(leg)² = 13²/2, we need only positive root,
leg = √(13²/2)=13/√2=(13√2)/2 exact value
leg ≈ 9.19 approximate value

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