shreyaspalla shreyaspalla
  • 21-02-2021
  • Mathematics
contestada

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

Respuesta :

devishri1977
devishri1977 devishri1977
  • 21-02-2021

Answer:

Step-by-step explanation:

Ratio = 4 :3

Other two sides = 4x , 3x

Pythagorean theorem

(4x)²  + (3x)² = 20²

16x² + 9x²  = 400

          25x² = 400

             x² = 400 ÷ 25

            x²  = 16

             x = √16

x = 4 cm

4x = 4*4 = 16

3x = 3*4 = 12

Sides = 16cm  , 12 cm

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