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Draw an equilateral trianglePQR with per...

Draw an equilateral `trianglePQR` with perimeter 18cm. Write the steps of constrcutions.

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Knowledge Check

  • Each side of an equilateral triangle measures 8 cm. Then, the semiperimeter of the triangle is ……………… cm.

    A
    4
    B
    24
    C
    12
    D
    36

  • The area of an equilateral triangle with each side measuring 10 cm is …………. cm^(2)

    A
    `(5sqrt(3))/(2)`
    B
    `25 sqrt(3)`
    C
    `5 sqrt(3)`
    D
    `3 sqrt(5)`

  • The side of an equilateral triangle expands at the rate of sqrt(3) cm/sec. When the side is 12 cm, the rate of increase of its area is ……….

    A
    `12cm^(2)//sec`
    B
    `18 cm^(2)//sec`
    C
    `3sqrt(3)cm^(2)//sec`
    D
    `10cm^(2)//sec`

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    A traffic signal board, indicating 'SCHOOL AHEAD', is an equilateral triangle with side 'a'. Find the area of the signal board, using Heron's formula. If its perimeter is 180 cm, what will be the area of the signal board ?

    Draw a line segment of length 6.5 cm and divide it in the ratio 3:4. Measure the two parts and write the steps of construction.

    Delta PQR is an equilateral triangle. If PQ = 10 cm. Find the area of Delta PQR using Heron's formula.

    Construct DeltaABC in which angleB=60^(@),angleC=45^(@) and AB+BC+CA=10 cm. Write the steps of construction.

    In which of the following situations, does the list of numbers involved is in the form of a GP? (i) Salary of Sharmila, when her salary is 5,00,000 for the first year and expected to receive yearly increase of 10%. Number of bricks needed to make each step, if the stair case has total 30 steps, provided that bottom step needs 100 bricks and each successive step needs 2 brick less than the previous step. Perimeter of the each triangle, when the mid points of sides of an equilateral triangle whose side is 24 cm are joined to form another triangle, whose mid points in turn are joined to form still another triangle and the process continues indefinitely.

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