True or false? I'm a two column proof the left Colin a series of deductions
2 answers:
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Answer:
B)
Step-by-step explanation:
1. As you can see from the image, there are two right triangles in the isosceles triangle. The base of each right triangle is 2 (because 4 ÷ 2 = 2), and the hypotenuse is 8.
2. Let's use Pythagorean Theorem to find the height of each right triangle, which will also give us the height of the isosceles triangle: , where a = height, b = base, and c= hypotenuse.
(Simplify both sides of the equation)
(Subtract 4 from both sides)
(Take square root of both sides
3. The√(60) is the height of each right triangle, and it's also the height of the isosceles triangle. Therefore, the answer is B) x = √60.