Pythagoras Theorem PYQs
Overview
This page provides comprehensive Class 10 Maths Pythagoras Theorem PYQs | Triangles. Pythagoras Theorem previous year questions for Class 10 Maths Triangles. Practice CBSE board PYQs with step-by-step solutions on SJMaths.
CBSE Class 10 PYQs with Step-by-Step Solutions
Q1
2024
00:00
In a right-angled triangle $ABC$, right-angled at $B$, if $AB = 5\text{ cm}$ and $BC = 12\text{ cm}$, find the length of hypotenuse $AC$.
By Pythagoras Theorem in $\triangle ABC$: $AC^2 = AB^2 + BC^2$
$AC^2 = 5^2 + 12^2 = 25 + 144 = 169$
$AC = \sqrt{169} = 13\text{ cm}$
Final Answer: (A) 13 cm
Q2
2023
00:00
A ladder $10\text{ m}$ long reaches a window $8\text{ m}$ above the ground. Find the distance of the foot of the ladder from the base of the wall.
Let the height of window be $h = 8\text{ m}$ and ladder length $L = 10\text{ m}$.
Let distance of foot of ladder from wall base be $x\text{ m}$.
By Pythagoras Theorem: $x^2 + 8^2 = 10^2 \implies x^2 + 64 = 100 \implies x^2 = 36 \implies x = 6\text{ m}$.
Final Answer: 6 m