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Question

In ΔPQR, if PT is the median, then which of the following is correct?

This question was previously asked in
SSC CGL 2024 (Tier-I) Previous Year Paper (17-Sep-2024) (Shift 3)
The correct answer is

PQ² + PR² = 2(PT² + QT²)

The correct answer is option 2. The formula for the median in a triangle states that the sum of the squares of two sides is equal to twice the sum of the square of the median and the square of the segment it divides.

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Similar Questions

  1. For the equations \(ax + (a^2 + 1)y = 4\) and \(4x + ay = a^2\), which of the following statements is TRUE?

  2. In a triangle ABC, AB = AC and the perimeter of ΔABC is 8(2 + √2) cm. If the length of BC is √2 times the length of AB, then find the area of ΔABC.

  3. Three cubes of equal volume are joined end to end. Find the surface area of the resulting cuboid if the diagonal of the cube is 6√3 cm.

  4. Find the area of a rectangle whose length is 52m and breadth is 9m.


Important Questions from Area

  1. What is the area of the triangle ABC with sides a = 10cm and c = 4cm angle B = 30°?

  2. For the equations \(ax + (a^2 + 1)y = 4\) and \(4x + ay = a^2\), which of the following statements is TRUE?

  3. What is the area of the parallelogram?

  4. Consider the following statements :
    1. If in a triangle ABC, A = 2B and b = c, then it must be an obtuse-angled triangle.
    2. There exists no triangle ABC with A = 40°, B = 65° and a/c = sin 40° cosec 15°

    Which of the above statements is/are correct?

  5. Which one of the following is the area of a sector of a circle of radius 10 cm formed by an arc length of 15 cm?

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