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The sides of a right angled triangle containing 8 cm and 15cm .find the length of the hypotenuse |
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Answer» GIVEN :-
TO FIND :-
SOLUTION :- ➬ Base (BC) = 8 cm. ➬ Perpendicular (AB) = 15 cm. ➬ Hypotenuse (AC) = ? ☯ By PYTHAGORAS THEOREM, ➬ AB² + BC² = AC² ➬ AC² = AB² + BC² ➬ AC² = (15)² + (8)² ➬ AC² = 225 + 64 ➬ AC² = 289 ➬ AC = √289 ➬ AC = 17 Cm. Hence hypotenuse of right Triangle is 17 cm. VERIFICATION :- ➬ AC² = AB² + BC² ➬ (17)² = (15)² + (8)² ➬ 289 = 225 + 64 ➬ 289 = 289 L.H.S = R.H.S HENCE VERIFIED ✔ |
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