Question

In a right angle triangle ABC, (a) If AB = 6 cm, BC = 8 cm, Find AC
(b) If AC= 13cm, BC = 5cm, Find AB
Show me in step by step.

Answer 1

According to Pythagoras theorem
AB^2+ BC^2 = AC^2

8^2 +6^2 = AC^2

64+36 = AC^2

AC^2 = 100
AC = √100 = 10


13^2= AB^2+5^2

169 -25 = AB^2

144 = AB^2
AB = √144 = 12

Answer 2

hello friend your answer is
Here in 1st
Ab=6
Bc=8
And Ac=10 by pgt
Ac²=Ab²+Bc²
=36+64=100
√100=10
in second
Same like as 1st
Ac²=Ab²+bc²
Ab²=Ac²-Bc²
=13²-5²
144=√144=12