Question

*काटकोन त्रिकोणात काटकोन करणाऱ्या बाजू a सेमी व b सेमी यांप्रमाणे आहेत ,तर सर्वांत मोठ्या बाजूची लांबी किती असेल?*

1️⃣ (a+b)² सेमी
2️⃣ √a²+b² सेमी
3️⃣ (a²+b²) सेमी​

Answer 1

Answer:

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Answer 2

Given :- If the sides of a right-angled triangle are equal to a cm and b cm, then what is the length of the largest side ?

1) (a + b) cm

2) √a² + b² cm

3) (a² + b²) cm

Solution :-

we know that,

• In a right angled ∆, pythagoras theorem says that, sum of square of base and perpendicular is equal to square of hypotenuse.
• P² + B² = H² .
• Side opposite to largest angle is longest in length .
• Hypotenuse is opposite to 90° and largest side.

from image we have ,

• ABC is a right angled ∆, right angle at B.
• AB = b cm.
• BC = a cm.
• AC = Hypotenuse .

then,

→ AC² = AB² + BC² (By pythagoras theorem)

→ AC² = (a² + b²)

square - root both sides,

→ AC = √(a² + b²) (2) (Ans.)

Hence, the length of the largest side is √(a² + b²) .

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