Question

10 सेमी कर्ण असलेल्या काटकोन त्रिकोणाची एक बाजू 6 सेमी असेल तर दुसरी बाजू काढा​

Answer 1

Given:

10 सेमी कर्ण असलेल्या काटकोन त्रिकोणाची एक बाजू 6 सेमी असेल तर दुसरी बाजू काढा​

To find:

दुसरी बाजू काढा​

Solution:

Let's say the Δ ABC is the right-angled triangle where

AC = Length of the diagonal = Hypotenuse = 10 cm

BC = one of the sides of the triangle = Base = 6 cm

AB = the other side = Perpendicular

We know,

$\boxed{\bold{Pythagoras\:Theorem\rightarrow Hypotenuse^2 = Perpendicular^2 + Base^2}}$

On substituting the given values in the above theorem, we get

$10^2 = AB^2 + 6^2$

$\implies 100 = AB^2 + 36$

$\implies AB = \sqrt{100 - 36}$

$\implies AB = \sqrt{64}$

$\implies \bold{AB = 8\:cm}$

Thus, the length of the other side of the right-angled triangle is → 8 cm.

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