Respuesta :

Answer:

Yes

Step-by-step explanation:

18^2+24^2=900

Square root of 900 is 30

This is derived from Pythagorean Theorem

Answer:

It is a right triangle

Step-by-step explanation:

Right Triangle

A right triangle has one of its internal angles of 90°. If such triangles, Pythagora's theorem must stand.

Being a and b the shortest sides of the triangle and c the longest side (hypotenuse), then:

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

The shortest sides of the given triangle are 18 and 24, and the longest side is 30, thus the following condition must be met to prove it's a right triangle:

[tex]18^2+24^2=30^2[/tex]

[tex]324+576=900[/tex]

[tex]900=900[/tex]

Since the condition is met, we can conclude it is a right triangle