if the sides of a triangle are 3 cm 4cm 6cm long determine whether the triangle is a right angled triangle
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Answer :-
The triangle is not a right-angled triangle having sides 3cm, 4cm and 6cm.
Step-by-step explanation:
To Find :-
- Whether a triangle having sides 3cm, 4cm and 6cm is a right-angled triangle or not?
★ Solution
Given that,
- The sides of triangle are 3cm, 4cm and 6cm.
We can find out, whether the triangle is a right-angled triangle or not, by applying the formula of "Pythagoras theorem".
Let 3cm be the perpendicular, 4cm be the base and 6cm be the Hypotenuse.
We know,
⠀⠀⠀⠀⠀• ⠀⠀⠀P² + B² = H²
Where,
→ P = Perpendicular
→ B = Base
→ H = Hypotheses.
Therefore,
⇒ P² + B² = H²
⇒ 3² + 4² = 6²
⇒ 9 + 16 = 36
⇒ 25 ≠ 36
Hence, Not a right-angled triangle.
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