Answer:
No, this isn't a right triangle.
Step-by-step explanation:
To check if the triangle is right we can use Pythagorean Theorem. If the equation turns out as true, the triangle is right.
Pythagorean Theorem
[tex]c^2 = a^2 + b^2[/tex]
c ... hypotenuse
a ... one leg
b ... another leg
The longest side in a right triangle is always hypotenuse, therefore we use the side which is 13 cm long as hypotenuse.
[tex]c^2 = a^2 + b^2\\13^2 = 4^2 + 12^2\\169 = 16 + 144\\169 = 160[/tex]
Number 169 isn't equal to 160 so the equation is false. That means that the triangle is not right.
