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In the figure shown below, the perimeter of the triangle is 15 + 5√3. What is the value of x?
- a)2
- b)3
- c)4
- d)5
- e)6
Correct answer is option 'D'. Can you explain this answer?
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In the figure shown below, the perimeter of the triangle is 15 +...
A right triangle in which the length of the longer leg is √3 times the length of the shorter leg is a 30° -60° -90° right triangle. Another property of this type of right triangle is that the hypotenuse is 2 times the length of the shorter leg. So, this right triangle has lengths x, x√3, and 2x. Its perimeter is x + x√3 + 2x = 15, or 3x + x√3 = 15 + 5√3. Subtract 5√3 from both sides to get 3x = 15; x = 5.
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In the figure shown below, the perimeter of the triangle is 15 + 5√3. What is the value of x?a)2b)3c)4d)5e)6Correct answer is option 'D'. Can you explain this answer?
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