Question

ABC is a triangle ,right angled at C .If AB=10cm,AC=8cm.Find BC

Answer 1

Hi there!

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Given :

AB = 10 cm.

AC = 8 cm

Angle C = 90°

To find :

Length of side BC.

Solution :

Using the pythagorean theorem ;

AB² = BC² + AC²

⇒BC² = AB² - AC²

⇒BC² = (10)² - (8)²

⇒BC² = 100 - 64

⇒BC² = 36

⇒BC = 6 cm.


Hence,

The length of BC = 6cm.

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Thanks for the question!

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Answer 2

$\underline{\bold{Given:-}}$

ABC is a triangle which is right angled at C.

AB = 10 cm

AC = 8 cm

$\underline{\bold{To\: find:-}}$

length of side BC

$\underline{\bold{Solution:-}}$

Since, ∆ABC is a right angled triangle.

By Using Pythagoras Theorem

${AB}^{2} = {AC}^{2} + {BC}^{2} \\ \\ {BC}^{2} = {AB}^{2} - {AC}^{2} \\ \\ {BC}^{2} = {10}^{2} - {8}^{2} \\ \\ {BC}^{2} = 100 - 64 \\ \\ {BC}^{2} = 36 \\ \\ BC = \sqrt{ {6}^{2} }$

$\bold{\boxed{BC\: =\:6\: cm}}$

⭐ hope it may help you⭐