Math, asked by sambhajib4, 1 month ago

*काटकोन त्रिकोणात काटकोन करणाऱ्या बाजूंची लांबी 6 सेमी व 8 सेमी आहे तर कर्णाची लांबी किती?*

1️⃣ 6 सेमी
2️⃣ 8 सेमी
3️⃣ 10 सेमी
4️⃣ 12 सेमी​

Answers

Answered by amitnrw
3

Given : काटकोन त्रिकोणात काटकोन करणाऱ्या बाजूंची लांबी 6 सेमी व 8 सेमी आहे

Length of sides of right angle triangle are 6cm and 8 cm

To Find :  कर्णाची लांबी

Hypotenuse length

1️⃣ 6 सेमी

2️⃣ 8 सेमी

3️⃣ 10 सेमी

4️⃣ 12 सेमी​

Solution:

Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.  

कर्णाची लांबी  = H  सेमी

Hypotenuse length = H  cm

H² = 6² + 8²

=> H² = 36 + 64

=> H² = 100

=> H² = 10²

=> H = 10

कर्णाची लांबी  = 10  सेमी

Hypotenuse length = 10  cm

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