10th Class Mathematics Triangles Question Bank Case Based (MCQs) - Triangles

  • question_answer
    Direction: Q. 26 to 30
    Two buildings I and II are of heights \[\text{19 m}\] and \[\text{4}0\text{ m}\] respectively \[20\text{ m}\] apart.
    Based on the above information, give the answer of the following questions:
    The distance between their tops can be found out by using which of the following theorems?

    A) Similarity of triangles

    B) Converse of Pythagoras Theorem

    C) Thales Theorem

    D) Pythagoras Theorem

    Correct Answer: D

    Solution :

    The distance between the top of buildings I and II can be found by using Pythagoras Theorem which states that "In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares on the other two sides.
    Given a right angled triangle ABC, right-angled at C
    Then,        \[A{{B}^{2}}=A{{C}^{2}}+B{{C}^{2}}\]
    So, option [d] is correct.

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