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

  • question_answer
    Direction: Q. 1 to 5
    Sanjeev wants to measure a garden during the visit to his native. He marks points P and Q on the opposite edges of a garden as shown in the figure.                              
    To find the distance between the points, he makes a right-angled triangle using rope connecting Q with another point R at a distance of \[\text{4m},\] connecting R to point 5 at a distance of \[\text{15m}\] from point R and connecting S to the point P which is at a distance of \[\text{8m}\] from S such that triangle PRS is a right angled triangle with \[\angle S=90{}^\circ \].      
    Based on the above information, give the answer of the following questions:                                 
    Which property of geometry will be used to find the distance PR?

    A) Similarity of triangles

    B) Thales theorem

    C) Pythagoras theorem

    D) Area of similar triangles

    Correct Answer: C

    Solution :

    Pythagoras theorem will be used to find the distance PR in right \[\Delta PRS\]. So, option [c] is correct.

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