alexmoy45p8yd7v
alexmoy45p8yd7v alexmoy45p8yd7v
  • 07-12-2019
  • Mathematics
contestada

The hypotenuse of a right triangle is 4 times the smallest side. The third side is 4√15 cm. Find the length of the smallest side of the triangle.

Respuesta :

tamiiii tamiiii
  • 07-12-2019

Answer:

x=4 cm

Step-by-step explanation:

x=smallest side

4x=hypotenuse

4√15=third side

use the Pythagorean Theorem

(4x)^2=x^2+(4√15)^2

16x^2=x^2+240

16x^2-x^2=240

15x^2=240

x^2=240/15

x^2=16

x=√16

x=4 cm is the smallest side

the hypotenuse is 16 cm

the third side is 4√15 cm

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philguy
philguy philguy
  • 07-12-2019
The answer is x=4 cm
Answer Link

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