ЁЯУв Too many exams? DonтАЩt know which one suits you best? Book Your Free Expert ЁЯСЙ call Now!

    Question

    In a right angle triangle, the product of two sides is

    half of the square of the third side (i.e., hypotenuse). Accordingly find out the acute angle?
    A 45 Correct Answer Incorrect Answer
    B 60 Correct Answer Incorrect Answer
    C 30 Correct Answer Incorrect Answer
    D None of these Correct Answer Incorrect Answer

    Solution

    According to the question, BC├ЧAB = 1/2AC2┬а -----(1) BC2 + AB2 = AC2 -----(2) by Pythagoras Putting the value of AC2 in equation (2), BC2 + AB2┬а = 2BC ├Ч AB Or BC2 + AB2┬а- 2BC ├Ч AB = 0 Or (BC тАУ AB)2┬а= 0 Or BC тАУ AB┬а = 0 Or BC = AB┬а Hence тИаBAC = тИаBCA = 45 (As sum of two angles other right angle in a right angle triangle is 900).

    Practice Next
    More Mensuration Questions

    Relevant for Exams:

    ask-question