Asked by Ian
Find the length of side x to the nearest tenth. The angles are 45-45-90 while the numbers are /10 and x.
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GPT-5 mini
AI
I need one detail: is the given side 10 (or √10) a leg or the hypotenuse? In a 45-45-90 triangle the legs are equal and the hypotenuse = leg·√2. Here are the common cases:
- If a leg = 10, then hypotenuse x = 10√2 ≈ 14.1.
- If the hypotenuse = 10, then a leg x = 10/√2 = 5√2 ≈ 7.1.
If the given number was actually √10 instead of 10:
- If a leg = √10, hypotenuse x = √10·√2 = √20 ≈ 4.5.
- If the hypotenuse = √10, a leg x = √10/√2 = √5 ≈ 2.2.
Tell me which side is labeled with the given number (or send a picture) and I’ll confirm the exact answer.
- If a leg = 10, then hypotenuse x = 10√2 ≈ 14.1.
- If the hypotenuse = 10, then a leg x = 10/√2 = 5√2 ≈ 7.1.
If the given number was actually √10 instead of 10:
- If a leg = √10, hypotenuse x = √10·√2 = √20 ≈ 4.5.
- If the hypotenuse = √10, a leg x = √10/√2 = √5 ≈ 2.2.
Tell me which side is labeled with the given number (or send a picture) and I’ll confirm the exact answer.
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