Rahul walks 12m north from his house and turns west to walk 35m to reach his friend’s house. While returning, he walks diagonally from his friend’s house to reach back to his house. What distance did he walk while returning

Solution:

Rahul walks 12 m north from his house.

Rahul turns west to walk 35 m to reach his friend’s house.

While returning, he walks diagonally from his friend’s house to reach his house.

We have to find the diagonal distance travelled by Rahul.

Considering triangle RQP,

RQP is a triangle right angled at Q

By Pythagorean theorem,

RP² = RQ² + PQ²

RP² = (35)² + (12)²

RP² = 1225 + 144

RP² = 1369

Taking square root,

RP = √1369

By using long division,

√1369 = 37

Therefore, the diagonal distance is 37 m.

✦ Try This: Ramu walks 22 m south from his house and turns east to walk 55m to reach his friend’s house. While returning, he walks diagonally from his friend’s house to reach back to his house. What distance did he walk while returning

☛ Also Check: NCERT Solutions for Class 8 Maths

---

NCERT Exemplar Class 8 Maths Chapter 3 Problem 127

Rahul walks 12m north from his house and turns west to walk 35m to reach his friend’s house. While returning, he walks diagonally from his friend’s house to reach back to his house. What distance did he walk while returning

Summary:

Rahul walks 12m north from his house and turns west to walk 35m to reach his friend’s house. While returning, he walks diagonally from his friend’s house to reach back to his house. The distance he walked while returning is 37 m.

---

☛ Related Questions:

• A 5.5m long ladder is leaned against a wall. The ladder reaches the wall to a height of 4.4m. Find t . . . .
• A king wanted to reward his advisor, a wise man of the kingdom. So he asked the wiseman to name his . . . .
• Find three numbers in the ratio 2:3:5, the sum of whose squares is 608