If the hypotenuse of a right-angled triangle is 29 cm and the sum of the other two sides is 41 cm, then the difference between the other two sides is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 1 cm.
We know that,
Pythagoras theorem
H2 = B2 + P2
here, H = Hypotaneous, B = Base, and P = Perpendicular
H = 29 cm
And B + P = 41 cm
By Pythagoras' theorem H2 must be equal to the sum of the Base and Perpendicular
Let, B = 20 cm and P = 21 cm
Then, it satisfies Pythagoras' theorem
⇒ 292 = 202 + 212
⇒ 841 = 400 + 441
⇒ 841 = 841
Thus, the required difference = 21 - 20 = 1 cm