Question

Triangle ABC is right angle at C .if AC is equal to 5 cm and BC is equal to 12 cm. find the length of AB.
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Answer 1

Step-by-step explanation:

Vector Addition

REF.Image

Given , ΔABC is right angled at C.

AC=5cm

BC=12cm

AB=?

Using Pythagoras theorem.

REF.Image

c

2

=a

2

+b

2

c=

a

2

+b

2

so in ΔABC

AB=

(AC)

2

+(CB)

2

AB=

(5)

2

+(12)

2

AB=

25+144

AB=

169

AB=13cm

Answer 2

• Answer:

AB = 13

Step-by-step explanation:

$AB^{2} = AC^{2} + BC^{2} \\ AB^{2} = 5^{2}+12^{2} \\ AB^{2} = 25+144\\ AB^{2} = 169\\ AB = \sqrt{169} \\ AB = 13$