Question

in a right triangle abc angle b is equal to 90 degree if ab is equal to 6 CM BC is equal to 8 cm find AC​

Answer 1

Step-by-step explanation:

Solution:-

By Pythagoras theorem,

(1)

AC² = AB² + BC²

AC² = 6² + 8²

AC² = 36 + 64 

AC² = 100 cm

AC = 10 cm

(2)

AC² = AB² + BC²

AB² = AC² - BC²

AB² = 13² - 5²

AB² = 169 - 25

AB² = 144 cm

AB 12 cm.

Answer 2

Answer:

${\huge{\underline{\underline{\sf{\blue{Solution :-}}}}}}$

Given:-

In a right triangle abc angle b is equal to 90 degree if ab is equal to 6 CM BC is equal to 8 cm.

To find :-

Find AC ________?

Hence,

△ ABC is a right- angled triangle with ∠B = 90°.

In △ ABC,

$AC ^{2} = BC ^{2} + AB^{2}$

(Pythogoras Theoreom)

$= [ \: (8)^{2}+ (6) ^{2} ] \: cm ^{2}$

$= [ \: 64 + 36] \: cm ^{2}$

$= 100 \: cm ^{2}$

$= AC = \sqrt{100} \: cm$

$= 10 \: cm \:$