jaydnpiggy3 jaydnpiggy3
  • 26-04-2021
  • Mathematics
contestada

What is the approximate length of the missing side of a
right triangle with hypotenuse of 16 cm and other side of
15 cm?

Respuesta :

joaobezerra joaobezerra
  • 01-05-2021

Answer:

The approximate length of the missing side is of 5.57 cm.

Step-by-step explanation:

Pythagorean Theorem:

In a right triangle with sides a and b and hypotenuse c, the Pythagorean theorem states that:

[tex]a^2 + b^2 = c^2[/tex]

In this question:

[tex]a = 15, c = 16[/tex]

We want to find b. Then

[tex]a^2 + b^2 = c^2[/tex]

[tex]15^2 + b^2 = 16^2[/tex]

[tex]b^2 = 256 - 225[/tex]

[tex]b^2 = 31[/tex]

[tex]b = \sqrt{31}[/tex]

[tex]b = 5.57[/tex]

The approximate length of the missing side is of 5.57 cm.

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