Respuesta :

gmany

Answer:

13

Step-by-step explanation:

24, 10 and 26

It's te Pythagorean triple:

[tex]10<24<26\\\\10^2+24^2=100+576=676\\26^2=676[/tex]

Therefore, te given triangle is a right triangle.

A radius of the circumscribed circle is equal a half hypotenuse length.

The hypotenuse in a right triangle is the longest side of the triangle.

Therefore

[tex]r=26:2=13[/tex]

adioabiola

The radius of the circumscribed circle is; 26/2 = 13 units.

From observation, The length of the triangle sides make the triangle right angled.

From;

  • 26² = 24² + 10²

  • 26² = 24² + 10²676 = 576 + 100

  • 26² = 24² + 10²676 = 576 + 100676 = 676.

However, the longest side of a right angled triangle inscribed in a circle is the diameter of the circle.

In essence, the diameter of the circumscribed circle is; 26 units.

And ultimately, the radius of the circumscribed circle is; 26/2 = 13 units.

Read more on circumscribed circle:

https://brainly.com/question/4564137

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