ABC is a trianglr ,right angled at C.If AB=25 cm and AC=7cm.Find BC
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ABC is a triangle, right angled at C. If AB = 25 cm and AC = 7cm. Find BC.
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In right triangle ABC :
(H)² = (P)²+(B)²
(AB)² = (AC)²+(BC)²
25² = 7²+(BC)²
(BC)² = 25²-7²
(BC)² = 625-49
BC = √576
BC = 24 cm
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Diagram :-
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ㅤㅤㅤㅤㅤㅤㅤㅤ/|
ㅤㅤㅤㅤㅤㅤㅤ / |
ㅤㅤㅤㅤㅤㅤ /ㅤ |
ㅤㅤㅤㅤㅤ /ㅤㅤ |
ㅤㅤㅤㅤㅤ /ㅤㅤ |
ㅤㅤㅤㅤ /ㅤㅤㅤ |
ㅤㅤㅤ / ㅤㅤㅤㅤ|
ㅤㅤ ㅤ/________|
ㅤ ㅤBㅤㅤㅤㅤㅤㅤC
..Question..
ABC is a triangle , right angle at C
If , AB = 25 cm
ㅤ AC = 7 cm
..Answer..
Given ,
ㅤㅤㅤㅤ➪ AB = 25 cm
ㅤㅤㅤㅤ➪ AC = 7 cm
ㅤㅤㅤㅤ➪ L ACB = 90°
☯︎ We are to find out = BC
•°• By Pythagoras Theorem
ㅤㅤㅤ➪ AB² = AC² + BC²
ㅤㅤㅤ➪ 25² = 7² + BC²
ㅤㅤㅤ➪ 7² + BC² = 25²
ㅤㅤㅤ➪ 49 + BC² = 625
ㅤㅤㅤ➪ BC² = 625 - 49
ㅤㅤㅤ➪ BC² = 576
ㅤㅤㅤ➪ BC = √576
ㅤㅤㅤ➪ BC = 24
•°• BC = 24 cm --------------------- Ans...
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Quick knowledge :-
- the side opposite to the right angle is called the Hypotenuse
ㅤㅤㅤ꧁ ʙʀᴀɪɴʟʏ×ᴋɪᴋɪ ꧂
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