Math, asked by chagnursandhyaraj60, 1 day ago

the right angled triangle having perimeter 120 cm has its two perpendicular sides in the ratio 5:12. find the lengths of its sides

Answers

Answered by hrithikamarriahbinoj
1

Answer:

Step-by-step explanation:

A right angled triangle having perimeter 120cm has two perpendicular sides in the ratio 5:12.

The length of its sides.

Let the ratio be R

→ [Hypotenuse]² = [base]² + [Perpendicular]²

→ [H]² = [5R]² + [12R]²

→ H² = 25R² + 144R²

→ H² = 169R²

→ H = √169R²

→ H = 13R

We know that perimeter of right angled Δ;

⇒ Side + Side + Side

⇒ 13R + 5R + 12R = 120

⇒ 30R = 120

⇒ R =  

⇒ R = 4

Thus,

The first side of Δ, 13×4 = 52cm.

The second side of Δ,5×4 = 20cm.

The third side of Δ,12×4 = 48cm.

Answered by akshikas143
0

Answer:

children McCulloch

Step-by-step explanation:

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