Explanation

The points form a scalene triangle:

Calculate the distances AB, BC, and AC. If all sides are unequal, it's a scalene triangle.

AB = √((1 - (-4))² + (4 - (-2))²) = √(5² + 6²) = √61

BC = √((6 - 1)² + (11 - 4)²) = √(5² + 7²) = √74

AC = √((6 - (-4))² + (11 - (-2))²) = √(10² + 13²) = √269

All sides are unequal (√61 ≠ √74 ≠ √269), so the points form a scalene triangle.

Explanation

Step 1: Find the prime factors of each number

255 = 3 × 5 × 17

345 = 3 × 5 × 23

495 = 3² × 5 × 11

Step 2: Identify the common factors

The common prime factors are 3 and 5.

Step 3: Calculate the HCF

HCF = 3 × 5 = 15

Explanation

1/2 (sum of parallel sides × altitude) formula is derived from the fact that a trapezium can be divided into a rectangle and a triangle. 

The area of the trapezium is the sum of the areas of these two shapes, which simplifies to 1/2 × (a + b) × h, where a and b are the lengths of the parallel sides, and h is the altitude.

Explanation

The pith is the central part of the stem, mainly used for storage of nutrients and water.

It is surrounded by vascular tissues that transport water and nutrients throughout the plant.

Explanation

Problem-Based Learning (PBL) presents students with real-world, open-ended problems without a clear solution.

It encourages group collaboration, critical thinking, and self-directed learning to find solutions.

Explanation

The correct order of adjectives in English typically follows: Determiner + Opinion + Size + Age + Shape + Color + Noun.

"That (determiner) small (size) new (age) square (shape) red (color) bag (noun)" follows this standard adjective order.

Explanation

Martyrdom means suffering death for a cause or belief.

It honors those who sacrifice their lives for their principles.

Martyrdom means شہید کی موت

Explanation

Non-formal education includes organized learning outside the formal school system.

It focuses on practical skills, literacy, and social development to meet community needs.

Explanation

To find the LCM, break down the numbers into their prime factors:

12 = 2² * 3

15 = 3 * 5

20 = 2² * 5

30 = 2 * 3 * 5

Step 1: Identify the highest powers of prime factors

The highest power of 2 is 2² (from 12 and 20).

The highest power of 3 is 3 (from 12, 15, and 30).

The highest power of 5 is 5 (from 15, 20, and 30).

Step 2: Calculate the LCM

LCM = 2² * 3 * 5

= 4 * 3 * 5

= 60

Explanation

My cousin will visit us soon.

Common gender words can refer to either male or female (e.g., cousin).