Question

find the length of AB in the given figure of a rectangle ABCD

Answer 1

Answer:

8 cm

Step-by-step explanation:

By using Pythagoras Theorem,

6^2 + x^2 = 10^2

36 + x^2 = 100

x^2 = 64

x = 8

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Answer 2

$\large\underline\orange{\sf{Given÷}}$

$\large\blue{\sf{ABCD~is~a~rectangle}}$

$\large\blue{\sf{AD=6cm}}$

$\large\blue{\sf{AC=10cm}}$

$\large\orange\underline{\sf{To~find~÷}}$

$\large\blue{\sf{Length~of~AB}}$

$\large\orange\underline{\sf{Solution÷}}$

$\large\blue{\sf{Using~Pythagoras~Theorum}}$

$\fbox\purple{Pythagoras~Theorum~☞(AC)²=(AB)²+(BC)²}$

$\large\blue{\sf{BC~=6cm~{Opp.~sides~of~a~rectangle~are~equal}}$

$\large\blue{\sf{(10)²~=(AB)²~+~(6)²}}$

$\large\blue{\sf{(AB)²~=~100-36}}$

$\large\blue{\sf{(AB)²~=~64}}$

$\large\blue{\sf{AB~=~8cm}}$

$\mathcal{\fcolorbox{aqua}{azure}{\red{❖Length~of~AB~=~8cm}}}$