Question

in the figure ABCD and APQR ore squares
AB -
= 1cm and AP = 3
a) What is the length of the diagonal of square
ABCD
b what is the length of the diagonal
of square APQR
How Longer is the diagonal of the
larger Square than the diagonal of the
smaller square
if each side of square is increased
by 5 cm, how much is the length of
the diagonal increased​

Answer 1

Step-by-step explanation:

AC=10cm

We know that all sides of a square are equal.

∴AB=BC=CD=DA

And each angle measures 90o.

∴∠ABC=∠BCD=∠CDA=∠DAB=90o

Now, in right angles ΔABC

AC2=AB2+BC2

(By Pythagorean theorem)

⇒102=AB2+AB2

⇒100=2AB2

⇒2100=AB2

⇒AB2=50

AB=50=7.07(approx.)

Since all the sides of a square are equal, therefore, AB=BC=CD=DA=7.07cm(approx.)

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