Explanation

Sum of angles in a triangle = 180°  

Ratio = 2 : 3 : 4 → total parts = 2 + 3 + 4 = 9

Smallest angle = 2/9 × 180° = 40°  

Other angles = 3/9 × 180° = 60°, 4/9 × 180° = 80°

Last verified on 13-06-2026

Explanation

When diagonals intersect at right angles, area of parallelogram = ½ × d1 × d2

Here d1 = 12 cm, d2 = 16 cm  

Area = ½ × 12 × 16 = 6 × 16 = 96 cm²

Last verified on 13-06-2026

Explanation

Formula: Angle = |30H - 5.5M|  

Where H = hour, M = minutes

At 3:15: H = 3, M = 15

Angle = |30×3 - 5.5×15|  

= |90 - 82.5|  

= 7.5°

Last verified on 13-06-2026

Explanation

Area of rhombus = ½ × d₁ × d₂  

Where d₁ and d₂ are the diagonals

Given: d₁ = 12 cm, d₂ = 16 cm

Area = ½ × 12 × 16  

= ½ × 192  

= 96

So area = 96 cm².

Last verified on 13-06-2026

Explanation

Surface area of cuboid = 2(lw + wh + hl)  

Where l = length, w = width, h = height

Given: l = 6cm, w = 4cm, h = 3cm

lw = 6 × 4 = 24  

wh = 4 × 3 = 12  

hl = 3 × 6 = 18

Add them: 24 + 12 + 18 = 54

Multiply by 2: 2 × 54 = 108

Surface area = 108 cm²

Last verified on 10-06-2026