Math, asked by Faisalzia, 11 months ago

Ramesh has a kite.The figure shows his kite with the............(in attachment).

Answer fast please with explanation

Attachments:

Answers

Answered by sristi200415
1

Step-by-step explanation:

Hey mate here is your answer..in the attachment below..

plz mark as brainlist

Attachments:
Answered by TanikaWaddle
0

length of AB and AD are 5 and 5√3

and perimeter =  10(1+√3)

Step-by-step explanation:

ABCD is a kite

AB = BC

AD = CD

area of the kite = 25√3

solution :

triangle ABD and BDC are the righht angled triangles

area of triangle ABD = \frac{1}{2}\times base \times height

= \frac{1}{2} \times AD \times AB ..(1)

Similarly

area of triangle BDC = \frac{1}{2} \times CD \times BC ..(2)

but DC = AB and BC = AB

so we can write

area of triangle BDC = \frac{1}{2} \times AD \times AB ..(2)

NOW

area of triangle ABD + area of triangle BDC =  area of ABCD

\frac{1}{2} \times AD \times AB +\frac{1}{2} \times AD \times AB  = 25\sqrt{3}

AD \times AB = 25\sqrt{3}...(3)\\

here BD bisects \angle ADC

SO, \angle ADB = 30..(4)\\

using trigonometry

tan 30^\circ = \frac{AB}{AD} \\\frac{1}{\sqrt{3} } =  \frac{AB}{AD}\\AB =\frac{AD}{\sqrt{3}}

On solving we get

AD = 5√3

then

AB = \frac{AD}{\sqrt{3} } = \frac{5\sqrt{3} }{\sqrt{3} }  = 5

NOW

perimeter = AB + BC +CD +DA

= 5+ 5√3+5+5√3

= 10 +10√3

= 10(1+√3)

hence ,

length of AB and AD are 5 and 5√3

and perimeter =  10(1+√3)

#Learn more:

A little boy is flying a kite.the string makes an angle of 30 degree with the ground. Find the height of the kite when string is 24m long.

https://brainly.in/question/15311575

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