Question

if right angled triangle ,if hypotenuse is 20cm and the ratio of the other two sides is 4:3,find the sides​

Answer 1

$\large\bf\underline {To \: find:-}$

• We need to find the sides.

$\large\bf\underline{Given:-}$

• if right angled triangle ,if hypotenuse is 20cm and the ratio of the other two sides is 4:3

$\huge\bf\underline{Solution:-}$

• Hypotenuse = 20cm
• Ratio of two sides = 4:3

Let the two sided be 4x and 3x

By using Pythagoras theorem:-

≫ Hypotenuse² = base² + perpendicular²

➛ (20)² = (4x)² + (3x)²

➛ 400 = 16x² + 9x²

➛ 400 = 25x²

➛ x² = 400/25

➛ x² = 16

➛ x = √16

➛ x = 4

So

The other two sides are 4x and 3x

• ❥ 4x = 4 × 4 = 16cm
• ❥ 3x = 3 × 4 = 12cm

⏺️Verification:-

By Pythagoras theorem:-

• h² = b² + p²

➛ 20² = 16² + 12²

➛ 400 = 256 + 144

➛ 400 = 400

LHS = RHS

hence Verified .

So, Length of both sides 16cm and 12cm is correct ✔

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Answer 2

Answer:

Step-by-step explanation:

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