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CDS - Triangle Test 1206
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CDS - Triangle Test 1206
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  • Question 1/5
    1 / -0.33
    What is the area of a right angled isosceles triangle whose hypotenuse is ?
    Solutions
    x = 6
    x = 6
    Area of AOB = x2/2 = 18 cm2
  • Question 2/5
    1 / -0.33
    PQR is right angled at Q, PR= 5 cm and QR = 4 cm. If the lengths of sides of another triangle ABC are 3 cm, 4 cm and 5 cm, then which one of the following is correct?
    Solutions
    From triangle PQR, PQ = = 3
    Similarly, from triangle ABC, BC = 4
    Thus both triangle are congurent
  • Question 3/5
    1 / -0.33
    Let ABC be an equilateral triangle. If the side BC is produced to the point D so that BC = 2CD, then AD2 is equal to
    Solutions

    ABC be an equilateral triangle. If the side BC is produced to the point D so that BC = 2CD.

    Construction: Draw a perpendicular AM on side BC.

    Let CD = x unit

    ⇒ BC = 2x unit

    As we know, perpendicular AM of equilateral triangle will also bisect side BC.

    Hence, BM = MC = x unit

    Length of altitude of equilateral triangle = AM =  =

    In triangle AMD

    AC is a median on side MD .

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  • Question 4/5
    1 / -0.33
    ABC is a triangle where BC = 2AB, ∠C = 30° and ∠A = 90°. The magnitude of the side AC is
    Solutions

    ABC is a triangle where BC = 2AB, ∠C = 30° and ∠A = 90°.

    In triangle ABC :

    ⇒

    Let AB = x

    BC = 2x

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  • Question 5/5
    1 / -0.33
    In the given figure, find  in terms of .

    Solutions

    Clearly,


    Now, at point P,

    So,

    Hence, option a is the correct answer.

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