Question

काटकोन त्रिकोण ABC मध्ये सर्वांत मोठी बाजू 13 सेमी आणि काटकोन करणारी एक बाजू 5 सेमी असल्यास काटकोन करणारी दुसरी बाजू किती सेमी लांबीची असेल?​

Answer 1

Given:

काटकोन त्रिकोण ABC मध्ये सर्वांत मोठी बाजू 13 सेमी आणि काटकोन करणारी एक बाजू 5 सेमी असल्यास काटकोन करणारी दुसरी बाजू किती सेमी लांबीची असेल?​

If the longest side in a right triangle ABC is 13 cm and one side making a right angle is 5cm, what is the length of the other side making a right angle?

To find:

What is the length of the other side making a right angle?

Solution:

We know,

$\boxed{\bold{\underline{Pythagoras\:Theorem}: \rightarrow AC^2 = AB^2 + BC^2}}$

Let's say in right-angled Δ ABC we have  

AC = 13 cm → longest side of the Δ ABC → Hypotenuse

BC = 5 cm → one of the side making the right angle → Base

AB → the other side of the triangle making the right angle → Perpendicular

By substituting the given values in the Pythagoras Theorem, we get

$13^2 = AB^2 + 5^2$  

$\implies AB^2 = 13^2 - 5^2$

$\implies AB = \sqrt{169 - 25}$  

$\implies AB = \sqrt{144}$  

$\implies \bold{AB = 12\:cm}$

 

Thus, the length of the other side making a right angle is → 12 cm.

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Also View:

In a right-angled triangle, find the length of the hypotenuse, if the other two sides measure 12 cm and 35 cm?

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In a right-angled triangle, one side is equal to 15 CM and the other equal to 20cm. Find out the length of the hypotenuse side.

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