Question

angle b=90 degree find sin a cos c ac=13 bc=5 ab=? find ab also pls

it is concise mathematics i cse​

Answer 1

△ ABC is a right-angled triangle.

By Pythagoras theorem,

AC^2 = BC^2 + AB^2

⇒13^2 = 5^2 + AB^2

⇒AB^2 =−(5)^2 +13^2

⇒AB^2 = −25+169

⇒AB^2 = 144

⇒AB= √144

⇒AB=12 cm.