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Directions: Choose the letter that best answers the question.


Q. The perimeter of triangle BCD is 18. What is its area?



  • a)
    8

  • b)
    10

  • c)
    20

  • d)
    12

  • e)
    24

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Directions: Choose the letter that best answers the question.Q. The pe...
The correct answer is (D). To solve, first find the length of side BD. We know that the perimeter is 14, so by subtracting the total of the sides we know, we find that this side is 3. This tells us that it is an isosceles triangle, with two equal sides and two equal angles. To find the area, we use the formula 1/2bh.
We know that the base is 8. To find the height, draw a line from point D straight down to cut line BC in half. Name the point where the line hits BC as E. This new line forms two right triangles, CED and BED, each with a side of 3 and a hypotenuse of 5. We can tell these are 3-4-5 right triangles. The height of the original triangle is 5. We can then solve the equation to find the area:
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Directions: Choose the letter that best answers the question.Q. The pe...
The correct answer is (D). To solve, first find the length of side BD. We know that the perimeter is 14, so by subtracting the total of the sides we know, we find that this side is 3. This tells us that it is an isosceles triangle, with two equal sides and two equal angles. To find the area, we use the formula 1/2bh.
We know that the base is 8. To find the height, draw a line from point D straight down to cut line BC in half. Name the point where the line hits BC as E. This new line forms two right triangles, CED and BED, each with a side of 3 and a hypotenuse of 5. We can tell these are 3-4-5 right triangles. The height of the original triangle is 5. We can then solve the equation to find the area:
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Directions: Choose the letter that best answers the question.Q. The pe...
The correct answer is (D). To solve, first find the length of side BD. We know that the perimeter is 14, so by subtracting the total of the sides we know, we find that this side is 3. This tells us that it is an isosceles triangle, with two equal sides and two equal angles. To find the area, we use the formula 1/2bh.
We know that the base is 8. To find the height, draw a line from point D straight down to cut line BC in half. Name the point where the line hits BC as E. This new line forms two right triangles, CED and BED, each with a side of 3 and a hypotenuse of 5. We can tell these are 3-4-5 right triangles. The height of the original triangle is 5. We can then solve the equation to find the area:
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