A triangle whose sides measure ............ i | vedclass

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(B) 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

$7, 24, 25$

Vedclass · Answer

(B) 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).For option $A$: $6^2 + 8^2 = 36 + 64 = 100$,while $12^2 = 144$. Since $100 
eq 144$,it is not a right-angled triangle.For option $B$: $7^2 + 24^2 = 49 + 576 = 625$,and $25^2 = 625$. Since $625 = 625$,it satisfies the Pythagoras theorem.For option $C$: $7^2 + 15^2 = 49 + 225 = 274$,while $17^2 = 289$. Since $274 
eq 289$,it is not a right-angled triangle.For option $D$: $3^2 + 7^2 = 9 + 49 = 58$,while $9^2 = 81$. Since $58 
eq 81$,it is not a right-angled triangle.Therefore,the sides $7, 24, 25$ form a right-angled triangle.

$A$ triangle whose sides measure ............ is a right-angled triangle.

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