ACT Math · Triangles and similarity
In a 45-45-90 triangle, each leg has length 8. Which value is closest to the length of the hypotenuse?
In a 45-45-90 triangle, each leg has length 8. Which value is closest to the length of the hypotenuse?
Answer and explanation
Answer: G: 11.3
In a -- triangle, the hypotenuse is the leg times . So the hypotenuse is , choice G. Check with the Pythagorean theorem: . Choice J () doubles the leg, which would be the sum of the legs. Choice F () is the length of a leg; the hypotenuse must be longer. Choice H () is , the multiplier from a -- triangle. Match the ratio to the triangle type.
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