Question

ಒಂದು ಲಂಬಕೋನ ತ್ರಿಭುಜದ ಬಾಹುಗಳ ಅಳತೆ 6 cm ಮತ್ತು 8 cm ಆದರೆ,
ವಿಕರ್ಣದ ಅಳತೆ ಎಷ್ಟು ?
ಅ) 8 cm ಆ) 10 cm ಇ) 6 cm ಈ) 18 cm​

Answer 1

Given:

ಒಂದು ಲಂಬಕೋನ ತ್ರಿಭುಜದ ಬಾಹುಗಳ ಅಳತೆ 6 cm ಮತ್ತು 8 cm ಆದರೆ,

ವಿಕರ್ಣದ ಅಳತೆ ಎಷ್ಟು ?

ಅ) 8 cm ಆ) 10 cm ಇ) 6 cm ಈ) 18 cm​

If the sides of a right triangle are 6 cm and 8cm, what is the measurement of the other side?

To find:

The measurement of the other side

Solution:

Let's say in the right-angled triangle,

Perpendicular = 8 cm

Base = 6 cm

We will use Pythagoras Theorem to calculate the measurement of the other side:

Pythagoras Theorem: → $\boxed{\bold{Hypotenuse^2 = Perpendicular^3 + Base^2}}$

Therefore, we get

$Hypotenuse^2 = 8^2 + 6^2$

$\implies Hypotenuse^2 = 64 + 36$

$\implies Hypotenuse^2 = 100$

$\implies Hypotenuse = \sqrt{100}$

$\implies \bold{Hypotenuse = 10}$ ← option (2)

Thus, the other side of the right-angled triangle is → 10 cm.

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