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Sagot :
Classification of given triangle is right angle triangle.
Let's suppose a, b and c are the sides of a triangle.
then we know that sum of 2 sides is always greater than third side.
a + b>c
b + c>a
c + a>b
a = 4.35, b = 5.8 , c = 7.25
a + b>c 4.35+5.8 = 10.15>7.25
b + c>a 5.8 + 7.25 = 13.05>4.35
c + a>b 7.25+4.35 = 11.60>5.8
So now we can say given side lengths are representing sides of a triangle.
It generalizes the Pythagorean Theorem, which states that for a right-angled triangle square of the hypotenuse is equal to the sum of squares of the base and height of the triangle, which is [tex]c^2 = a^2 + b^2[/tex]
Similarly, It can be observed that
For acute-angled triangle
[tex]c^2 < a^2 + b^2[/tex]
For Obtuse-angled triangle
[tex]c^2 > a^2 + b^2[/tex]
[tex]a^2 + b^2[/tex] = 18.9225 + 33.64 = 52.5625
[tex]c^2[/tex] = 52.5625
clearly we can see that [tex]a^2+b^2 = c^2[/tex]
So given triangle is Right-angled triangle.
To know more about triangle here
https://brainly.com/question/14366937
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