alexaagudelo19780 alexaagudelo19780
  • 22-01-2020
  • Mathematics
contestada

A triangle has a perimeter of 50. If 2 of its
sides are equal and the third side is 5 more
than the equal sides, what is the length of
the third side​

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 03-02-2020

Answer:

20 units

Step-by-step explanation:

Let the equal sides of the triangle be x.

Then the third side will be (x+5) units

Since the perimeter is 50, we have:

[tex]x + x + (x + 5) = 50[/tex]

We simplify to get:

[tex]3x + 5 = 50[/tex]

This implies that:

[tex]3x = 50 - 5[/tex]

[tex]3x = 45[/tex]

Divide both sides by 3 to get:

[tex]x = \frac{45}{3} = 15 [/tex]

The length of the third side is:

15+5=20

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