Given:
Base length of triangle = 6 units
Height of triangle = 4 units
To find:
Length of hypotenuse of triangle
Steps:
Pythagoras theorem states that,
A² + B² = C²
Here A and B represent height and length of triangle, and C represents the hypotenuse of the triangle.
So, implementing our measurements we get
A = 6 units
B = 4 units
C = C units
A² + B² = C²
6² + 4² = C²
36 + 16 = C²
52 = C²
[tex]\sqrt{52} = \sqrt{C^{2} }[/tex]
[tex]\sqrt{2 * 2*13} = C[/tex]
[tex]2\sqrt{13} = C[/tex]
[tex]C = 2\sqrt{13}[/tex]
[tex]\sqrt{13} = 3.6[/tex]
[tex]C = 2 * 3.6[/tex]
[tex]C = 7.2[/tex] units
Therefore, the length of the Hypotenuse of the triangle or the length of C is 7.2 units
HAPPY TO HELP :)
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