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