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Area of a triangle = (base xx height)....

Area of a triangle = `(base xx height)`.

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To determine whether the statement "Area of a triangle = base x height" is true or false, we need to analyze the formula for the area of a triangle. ### Step-by-Step Solution: 1. **Understanding the Area of a Triangle**: The area of a triangle is calculated using the formula: \[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \] 2. **Identifying Base and Height**: In a triangle, the base can be any side of the triangle, and the height is the perpendicular distance from the opposite vertex to the line containing the base. 3. **Applying the Formula**: If we take a right-angled triangle, for instance, with: - Base = BC - Height = the perpendicular distance from A to line BC The area can be expressed as: \[ \text{Area} = \frac{1}{2} \times \text{BC} \times \text{height} \] 4. **Evaluating the Statement**: The statement given in the question is "Area of a triangle = base x height". This is incomplete because it does not include the factor of \(\frac{1}{2}\). 5. **Conclusion**: Therefore, the statement is **false**. The correct formula for the area of a triangle is: \[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \]
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The algebraic expression, Area of a triangle with base m and height n. Is a monomial, binomial or trinomial?

Area of a triangle = 1/2 " base " xx _______ .

Knowledge Check

  • Assertion : In the given fig ure, the point D divides the side BC of /_\ABC in the ratio m : n , then ratio of ar(ABD) and ar(ADC) is m:n Reason : Area of triangle = 1/2 xx Base xx Height

    A
    If both assertion and reason are tme and reason is the correct explanation of assertion.
    B
    If both assertion and reason are true but reason is not the correct explanation of assertion.
    C
    If assertion is true but reason is false.
    D
    If assertion is false but reason is trne.
  • The base of a triangle is 15 cm and height is 12 cm. The height of another triangle of double the area having the base 20 cm is :

    A
    8 cm
    B
    9 cm
    C
    12.5 cm
    D
    18 cm
  • The base of a triangle is 15 cm and height is 12 cm. The height of another triangle of double the area having the base 20 cm is :

    A
    9 cm
    B
    18 cm
    C
    8 cm
    D
    12.5 cm
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