A ladder of length 13 m is leaning against a vertical wall with the upper end at the height of 5 m. The horizontal distance between the foot of the wall and the lower end of the ladder is [#1711]

5² + X² = 13² => 25 + X² = 169 => X² = 196 - 25 => X² = 144 => X = 12

---

5² + X² = 13² => 25 + X² = 169 => X² = 196 - 25 => X² = 144 => X = 12

An even number is a whole number that is divisible by 2, such as 4, 6, or 8.

---

An even number is a whole number that is divisible by 2, such as 4, 6, or 8.

The son becomes 15 years old after 3 years. Hence son's present age = 15 years - 3 years = 12 years Man is four times as old as his son. Hence Man's present age = 12 years * 4 = 48 years Man is 3 years older than his wife. Hence present age of his wife = 48 years - 3 years = 45 years.

---

The son becomes 15 years old after 3 years. Hence son's present age = 15 years - 3 years = 12 years Man is four times as old as his son. Hence Man's present age = 12 years * 4 = 48 years Man is 3 years older than his wife. Hence present age of his wife = 48 years - 3 years = 45 years.

7 and 8

---

7 and 8

42 - (4*3) = 16 - 12 = 4

---

4^{2 - (4*3) = 16 - 12 = 4}

60

---

60

376 -> 367 629 -> 269 921 -> 129 * 397 -> 379

---

376 -> 367 629 -> 269 921 -> 129 * 397 -> 379

An equilateral triangle is a triangle with three equal sides and angles, a regular polygon with three sides.

---

An equilateral triangle is a triangle with three equal sides and angles, a regular polygon with three sides.

The sum of the interior angles of a triangle is always 180 degrees, a fundamental principle in geometry.

---

The sum of the interior angles of a triangle is always 180 degrees, a fundamental principle in geometry.

4 : 5

---

4 : 5

In ascending order = -2, -1, 1, 2, 3, 5, 6 median = $\frac{7+1}{2}$th term = 4th term = 2

---

In ascending order = -2, -1, 1, 2, 3, 5, 6 median = $\frac{7+1}{2}$th term = 4th term = 2