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The Baudhayana-Pythagoras Theorem — Class 8 solved problems

4 problems from this chapter, each solved step by step.

  1. Sukesh is having a garden at the back of his house with trees and flower plants. One day, due to heavy rain and storm, one of the trees broke such that the heig

    (i) The length of the broken part of the tree is 25 m. (ii) The total height of the full tree was 40 m. (iii) (a) The perimeter of the triangle formed is 60 m.

  2. In a right triangle the two legs are 3 cm and 4 cm. Find the hypotenuse and sin of the angle opposite the 3 cm side.

    The hypotenuse is 5 cm and the sine of the angle opposite the 3 cm side is (3)/(5).

  3. It's a right angle triangle and you know one of the sides is 5 cm the other is 3 cm what is the third side

    The third side can be either √34 cm or 4 cm.

  4. Solve the Diophantine equation x² + y² = z² in positive integers (Pythagorean triples).

    The solutions to the Diophantine equation x² + y² = z² in positive integers are given by x = k(m² - n²), y = k(2mn), and z = k(m² + n²), where m and n are copri

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