QUESTION IMAGE
Question
dearies
what are the lengths of leg b and hypotenuse c in triangle abc?
drag a number into each box.
b = □ in.
c = □ in.
∙ 15 ∙ 30 ∙ 36 ∙ 39 ∙ 72 ∙ 73.5 ∙ 1,521
Step1: Assume triangle ABC is a right triangle (since it mentions leg and hypotenuse). Let's assume the other leg (let's say a) is 15 (from the given numbers, maybe a 15-36-39 triangle, which is a multiple of 5-12-13: 53=15, 123=36, 13*3=39).
Check Pythagorean theorem: \(a^2 + b^2 = c^2\). If a = 15, let's test b = 36: \(15^2 + 36^2 = 225 + 1296 = 1521\), and \(39^2 = 1521\). So that works.
Step2: So leg b is 36, hypotenuse c is 39.
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b = 36 in.
c = 39 in.