If the measures of the sides of a triangle ar | vedclass

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(D) triangle is a right-angled triangle if the square of the longest side is equal to the sum of the squares of the other two sides (Pythagoras theore

Vedclass · Accepted Answer

$8, 24, 26$

Vedclass · Answer

(D) triangle is a right-angled triangle if the square of the longest side is equal to the sum of the squares of the other two sides (Pythagoras theorem: $a^2 + b^2 = c^2$).For option $A$: $3^2 + 4^2 = 9 + 16 = 25 = 5^2$. This is a right-angled triangle.For option $B$: $5^2 + 12^2 = 25 + 144 = 169 = 13^2$. This is a right-angled triangle.For option $C$: $7^2 + 24^2 = 49 + 576 = 625 = 25^2$. This is a right-angled triangle.For option $D$: $8^2 + 24^2 = 64 + 576 = 640$,while $26^2 = 676$. Since $640 
eq 676$,this is not a right-angled triangle.

If the measures of the sides of a triangle are $\ldots \ldots \ldots,$ then it is not a right-angled triangle.

Similar Questions

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