Solve the equation. Type your answer in the box as positive or negative whole number (Examples: 2 -4 6 -8)
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.
the length of the hypotenuse is 25 units and the length of the other leg is 15 units
To find the length of one leg of a right triangle we apply Pythagorean theorem
(one leg)^2 = hypotenuse ^2 - other leg ^2
Let x be the length of one log
hypotenuse = 25
other log = 15
Take square root on both sides
x = 20
The length of one leg = 20 units