Question

drag each length to the correct location on the triangle. each length can be used more than once, but not all lengths will be used. what are the missing side lengths for triangle abc? 4√3, 4, 4√2, 8√3, 12, 8, 8√2 (triangle with angles 30°, 60°, 90° and one leg 4√3)

Explanation:

Step1: Identify triangle type

It is a 30-60-90 right triangle.

Step2: Define sides

Let short leg = $x$, long leg = $x\sqrt{3}$, hypotenuse = $2x$.

Step3: Find short leg

Given long leg = $4\sqrt{3} = x\sqrt{3}$, so $x=4$.

Step4: Find hypotenuse

Hypotenuse = $2x = 2×4 = 8$.

Answer:

The missing side lengths are 4 and 8.