The Baudhayana Pythagoras Theorem — Class 8 Mathematics NCERT Solutions (Free)
Free step-by-step NCERT solutions for Class 8 Mathematics chapter "The Baudhayana Pythagoras Theorem" — 8 important questions with detailed answers for CBSE board exam preparation.
TL;DR: Free step-by-step NCERT solutions for Class 8 Mathematics chapter "The Baudhayana Pythagoras Theorem" — 8 important questions with detailed answers fo…
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Key Questions Covered:
- If the sides of a right triangle are 3 cm and 4 cm, find the hypotenuse.
- Check if a triangle with sides 5, 12, and 13 is a right triangle.
- Find the hypotenuse of a right triangle with legs 6 m and 8 m.
- In a right triangle, if hypotenuse = 13 cm and one leg = 5 cm, find the other…
- Verify if 7, 24, 25 form a Pythagorean triple.
- A ladder of length 13 m is placed against a wall. The foot of the ladder is 5…
- + 2 more questions in the full chapter
Solutions Summary:
| Question | Status |
|---|---|
| If the sides of a right triangle are 3 cm and 4 cm, find … | ✓ Solved |
| Check if a triangle with sides 5, 12, and 13 is a right t… | ✓ Solved |
| Find the hypotenuse of a right triangle with legs 6 m and… | ✓ Solved |
| In a right triangle, if hypotenuse = 13 cm and one leg = … | ✓ Solved |
| Verify if 7, 24, 25 form a Pythagorean triple. | ✓ Solved |
| A ladder of length 13 m is placed against a wall. The foo… | ✓ Solved |
Showing 6 of 8 questions
Q1: If the sides of a right triangle are 3 cm and 4 cm, find the hypotenuse.
Step 1: Use Pythagoras theorem: c² = a² + b²
Step 2: Given a = 3 cm, b = 4 cm
Step 3: c² = 3² + 4² = 9 + 16 = 25
Step 4: c = √25 = 5 cm
Step 5: The hypotenuse is 5 cm
Q2: Check if a triangle with sides 5, 12, and 13 is a right triangle.
Step 1: For a right triangle, the longest side is the hypotenuse.
Step 2: Hypotenuse = 13, other sides = 5 and 12
Step 3: Check: 5² + 12² = 25 + 144 = 169
Step 4: Also, 13² = 169
Step 5: Since 5² + 12² = 13², it is a right triangle (Pythagorean triple)
Q3: Find the hypotenuse of a right triangle with legs 6 m and 8 m.
Step 1: Use Pythagoras theorem: c² = a² + b²
Step 2: Given a = 6 m, b = 8 m
Step 3: c² = 6² + 8² = 36 + 64 = 100
Step 4: c = √100 = 10 m
Step 5: The hypotenuse is 10 m
Q4: In a right triangle, if hypotenuse = 13 cm and one leg = 5 cm, find the other leg.
Step 1: Use Pythagoras theorem: c² = a² + b²
Step 2: Given c = 13 cm, a = 5 cm, find b
Step 3: 13² = 5² + b²
Step 4: 169 = 25 + b²
Step 5: b² = 169 − 25 = 144
Step 6: b = √144 = 12 cm
Q5: Verify if 7, 24, 25 form a Pythagorean triple.
Step 1: Check if 7² + 24² = 25²
Step 2: 7² = 49, 24² = 576, 25² = 625
Step 3: 49 + 576 = 625
Step 4: Since 7² + 24² = 25², it is a Pythagorean triple
Q6: A ladder of length 13 m is placed against a wall. The foot of the ladder is 5 m from the wall. How high does the ladder reach on the wall?
Step 1: The ladder, wall, and ground form a right triangle.
Step 2: Hypotenuse (ladder) = 13 m, base (distance from wall) = 5 m
Step 3: Use Pythagoras theorem: 13² = 5² + h²
Step 4: 169 = 25 + h²
Step 5: h² = 169 − 25 = 144
Step 6: h = √144 = 12 m
Step 7: The ladder reaches 12 m high on the wall
Showing 6 of 8 questions. Visit the full page for complete solutions.
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