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Area of a triangle is 24 cm2. If base of the triangle is thrice of height, find the base of the triangle.
- a)4 cm
- b)8 cm
- c)12 cm
- d)16 cm
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Area of a triangle is 24 cm2. If base of the triangle is thrice of hei...
Given information:
- Area of the triangle is 24 cm².
- Base of the triangle is thrice the height.
Let's solve the problem step by step:
Step 1: Understanding the formula for the area of a triangle
The formula for the area of a triangle is given by:
Area = (1/2) * base * height
Step 2: Finding the relationship between base and height
We are given that the base of the triangle is thrice the height. So we can write:
base = 3 * height
Step 3: Substituting the base value in terms of height in the area formula
Area = (1/2) * (3 * height) * height
24 = (1/2) * 3 * height²
48 = 3 * height²
16 = height²
Step 4: Finding the value of height
Taking the square root on both sides, we get:
height = √16
height = 4 cm
Step 5: Finding the value of the base
Using the relationship between base and height, we have:
base = 3 * height
base = 3 * 4 cm
base = 12 cm
Therefore, the base of the triangle is 12 cm. Hence, the correct answer is option C.
- Area of the triangle is 24 cm².
- Base of the triangle is thrice the height.
Let's solve the problem step by step:
Step 1: Understanding the formula for the area of a triangle
The formula for the area of a triangle is given by:
Area = (1/2) * base * height
Step 2: Finding the relationship between base and height
We are given that the base of the triangle is thrice the height. So we can write:
base = 3 * height
Step 3: Substituting the base value in terms of height in the area formula
Area = (1/2) * (3 * height) * height
24 = (1/2) * 3 * height²
48 = 3 * height²
16 = height²
Step 4: Finding the value of height
Taking the square root on both sides, we get:
height = √16
height = 4 cm
Step 5: Finding the value of the base
Using the relationship between base and height, we have:
base = 3 * height
base = 3 * 4 cm
base = 12 cm
Therefore, the base of the triangle is 12 cm. Hence, the correct answer is option C.
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Area of a triangle is 24 cm2. If base of the triangle is thrice of height, find the base of the triangle.a)4 cmb)8 cmc)12 cmd)16 cme)None of theseCorrect answer is option 'C'. Can you explain this answer?
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