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Base of a triangle is 2 cm more than the height. If height of the triangle is 12 cm, find the area of the triangle.
- a)80cm2
- b)84cm2
- c)88cm2
- d)92cm2
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Base of a triangle is 2 cm more than the height. If height of the tria...
To find the area of a triangle, we can use the formula:
Area = (base * height) / 2
Given that the height of the triangle is 12 cm, we need to find the length of the base.
Let's assume the height of the triangle is h cm. According to the given information, the base of the triangle is 2 cm more than the height. So, the base can be represented as (h + 2) cm.
Now, substitute the values into the formula:
Area = ((h + 2) * h) / 2
Simplify the expression:
Area = (h^2 + 2h) / 2
Area = (1/2) * (h^2 + 2h)
Now, substitute the value of h = 12 into the equation:
Area = (1/2) * (12^2 + 2 * 12)
Area = (1/2) * (144 + 24)
Area = (1/2) * 168
Area = 84 cm^2
Therefore, the area of the triangle is 84 cm^2. Hence, option B is the correct answer.
Area = (base * height) / 2
Given that the height of the triangle is 12 cm, we need to find the length of the base.
Let's assume the height of the triangle is h cm. According to the given information, the base of the triangle is 2 cm more than the height. So, the base can be represented as (h + 2) cm.
Now, substitute the values into the formula:
Area = ((h + 2) * h) / 2
Simplify the expression:
Area = (h^2 + 2h) / 2
Area = (1/2) * (h^2 + 2h)
Now, substitute the value of h = 12 into the equation:
Area = (1/2) * (12^2 + 2 * 12)
Area = (1/2) * (144 + 24)
Area = (1/2) * 168
Area = 84 cm^2
Therefore, the area of the triangle is 84 cm^2. Hence, option B is the correct answer.
Community Answer
Base of a triangle is 2 cm more than the height. If height of the tria...
Answer will be 'B' because
the hieght will be 12cm and when we add 2 to it so, the base will come 14cm
and then we divide them the answer will come 168 and then we have to dividi it by 2 so,
the answer will come 84cm2
means 168 is the square of 84
the hieght will be 12cm and when we add 2 to it so, the base will come 14cm
and then we divide them the answer will come 168 and then we have to dividi it by 2 so,
the answer will come 84cm2
means 168 is the square of 84
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Base of a triangle is 2 cm more than the height. If height of the triangle is 12 cm, find the area of the triangle.a)80cm2b)84cm2c)88cm2d)92cm2e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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