Question

2
N
In the given figure,
AB = AC, ZA = ZD = 90°.
BD = 18 cm and B
DC
= 24 cm
A
DI
Calculate the length of AB correct to two
places of decimal. Also, find the perimeter of
quadrilateral ABDC.​

Answer 1

Answer:

In the given figure, AB = AC, A = D = 90^0, BD = 18 cm and DC = 24 cm.Calculate the length of AB to the two places of decimal. Also, find the perimeter ...

Since, BDC is a right angled triangle, we have BC^2 = BD^2 + DC^2 BC^2 = 18^2 + 24^2 BC^2 = 324 + 576 = 900 BC = 30 cm Similarly, as ABC is a right ...

Answer 2

Answer:

Since, △BDC is a right angled triangle, we have

BC2=BD2+DC2

⇒BC2=182+242

⇒BC2=324+576=900 

⇒BC=30cm 

Similarly, as △ABC is a right angled triangle, we have

BC2=AB2+AC2

⇒302=AB2+AB2   (Since, AB=AC)

⇒2AB2=900 

⇒AB2=450 

⇒AB=21.21cm 

And perimeter of the quadrilateral ABCD=21.21+21.21+18+24=84.42cm

Step-by-step explanation:

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