$△ A B C$ is right-angled at C If AC = 5 cm and BC=12 cm find the length of AB

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Solution

Vector Addition
REF.Image
Given , $Δ A B C$ is right angled at C.
$A C = 5 c m$
$B C = 12 c m$
$A B = ?$
Using Pythagoras theorem.
REF.Image
$c^{2} = a^{2} + b^{2}$
$c = \sqrt{a^{2} + b^{2}}$
so in $Δ A B C$
$A B = \sqrt{(A C)^{2} + (C B)^{2}}$
$A B = \sqrt{(5)^{2} + (12)^{2}}$
$A B = \sqrt{25 + 144}$
$A B = \sqrt{169}$
$A B = 13 c m$

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△ABC is right-angled at C If AC = 5 cm and BC=12 cm find the length of AB

Vector AdditionREF.ImageGiven , ΔABC is right angled at C.AC=5cmBC=12cmAB=?Using Pythagoras theorem.REF.Imagec2=a2+b2c=√a2+b2so in ΔABCAB=√(AC)2+(CB)2AB=√(5)2+(12)2AB=√25+144AB=√169AB=13cm

$△ A B C$ is right-angled at C If AC = 5 cm and BC=12 cm find the length of AB