In a right ΔABC, ∠B=90 , if AB = 7 cm, BC = 24 cm find AC.
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Answer:
By Pythagoras Therom:. AC²=AB²+BC²
=7²+24²
AC=√(7²+24²)
=√(49+576)
=√(625)
AC=25 Ans
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25 cm
Step-by-step explanation:
GIVEN :-
In a right angled ∆ABC,
- ∠B = 90°
- AB = 7 cm
- BC = 24 cm
TO FIND :-
- The length of AC
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SOLUTION :-
The Pythagoras Theorem says,
(hypotenuse)² = (base)² + (perpendicular)²
Because here,
∠B = 90°, so
- AC = hypotenuse
- AB = perpendicular
- BC = Base
So,
AC² = AB² + BC²
=> AC² = 7² + 24²
=> AC² = 49 + 576
=> AC² = 625
=> √AC² = √625
=> AC = √25²
=> AC = 25 cm
Hence,
The length of AC is 25 cm.
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Hope it helps.
#BeBrainly :-)
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