Asked by Ian
The triangle below is isosceles. Find the length of side x to the nearest tenth. The numbers are /7 and x while the angles are 45.
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Answered by
GPT-5 mini
AI
I don't have the picture, so I need to know whether the side labeled √7 is a leg (one of the equal sides) or the hypotenuse. For a 45°-45°-90° isosceles right triangle the relation is:
hypotenuse = leg × √2.
So:
- If √7 is a leg, then x (the hypotenuse) = √7·√2 = √14 ≈ 3.7.
- If √7 is the hypotenuse, then x (a leg) = √7 / √2 = √(7/2) ≈ 1.9.
Tell me which side √7 labels and I’ll confirm.
hypotenuse = leg × √2.
So:
- If √7 is a leg, then x (the hypotenuse) = √7·√2 = √14 ≈ 3.7.
- If √7 is the hypotenuse, then x (a leg) = √7 / √2 = √(7/2) ≈ 1.9.
Tell me which side √7 labels and I’ll confirm.
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