In ∆ABC, angle C is a right angle.a and b are the legs and c is the hypotenuse. Find the third side if: a=5, c= 13
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Answered by
2
Answer:
12
Step-by-step explanation:
∆ABC is a right angled triangle
a²+b²=c²_______pythagoras theorem
(5)²+b²=(13)²
b²= 169-25
b²= 144
b= 12______taking square roots
Answered by
1
Step-by-step explanation:
GIVEN,
IN ∆ABC
ANGLE C = 90°
a = 5
c = 13
NOW,
=> (c)^2 = a^2 + b^2
=> (13)^2 = (5)^2 + (b)^2
=> 169-25 = (b)^2
=> 144 = (b)^2
=> √144 = b
=> 12 = b
Hence The Third Side = 12
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