Question

why triangle formed with given length will be a right angled triangle..,......................the diagram is ∆ of 3cm,4cm,5cm

Answer 1

because 3^2 +4^2 = 9+16 =25=5^2 by pythagoras theorem

Answer 2

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$\underline{ANSWER}$ ➡

$<b>The length of sides by 3 cm , 4 cm and 5 cm will formed a right angled triangle. Because the measures of the length of the sides verifies PYTHAGORAS THEOREM.$

$\underline{CHECKING}$ ➡

$<b>Let ,$

$<b>Hypotenues = 5 cm$

$<b>Base = 4 cm$

$<b>Altitude = 3 cm$

$<b>From Pythagorus Theorem ,$

$(Hypotenous) {}^{2} = (Base) {}^{2} + (Altitude) {}^{2} \\ \\ = > (5) {}^{2} = (4) {}^{2} + (3) {}^{2} \\ \\ = > 25 = 16 + 9 \\ \\ = > 25 = 25$

$<b>So , The measures of the length of the sides verifies Pythagorous Theorem.That is why the triangle formed by these lengths of sides is a Right Angled Triangle.$

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