CBSE Class 8 Mathematics
Question 3 of 8
The Baudhayana-Pythagoras Theorem — Question 3
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Question The hypotenuse of an isosceles right triangle is 10. What are its other two side lengths?
[Hint: Find the area of the square composed of two such right triangles.]
If a is the length of two equal sides of an isosceles right triangle, then a 2 + a 2 = 102 ⇒ 2a 2 = 100 ⇒ a 2 = 50 ⇒ a = √50 ⇒ a = 5√2 2.4 Combining Two Different Squares Figure It Out (Page 47)