if the sidesare 3 metre 4 metre and 6 metre long determine whether the triangle right angle triangle
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Answered by
1
Hypotenuse = 6 m (longest side)
According to the Pythagoras Theorem,
3^2+4^2=6^2
9+16=36
but 25 is not equal to 36
Therefore, The triangle formed with sides 3 m, 4 m and 6 m is not a right angle triangle.
According to the Pythagoras Theorem,
3^2+4^2=6^2
9+16=36
but 25 is not equal to 36
Therefore, The triangle formed with sides 3 m, 4 m and 6 m is not a right angle triangle.
Answered by
0
If it is a right triangle, square of one side (hypotenuse) will be equal to the sum of squares of the other two sides. ===[1]
So, let us assume it as a right triangle and name it ABC where AC is the hypotenuse which measures 6 m, AB measures 3 m and BC measures 4 m.
Therefore,
AC²= AB²+BC².
i.e; 6²=3²+4²
L.H.S:
6²=36.
R.H.S:
3²+4²= 9+16
=25.
Therefore from statement [1], L.H.S.≠R.H.S.
Therefore we can conclude that ABC is not a right triangle.
So, let us assume it as a right triangle and name it ABC where AC is the hypotenuse which measures 6 m, AB measures 3 m and BC measures 4 m.
Therefore,
AC²= AB²+BC².
i.e; 6²=3²+4²
L.H.S:
6²=36.
R.H.S:
3²+4²= 9+16
=25.
Therefore from statement [1], L.H.S.≠R.H.S.
Therefore we can conclude that ABC is not a right triangle.
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