Math, asked by gaytrimishra2750, 9 months ago

please help. me to find this please​

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gaytrimishra2750: I am begginer that's why

Answers

Answered by SeshankMannuru
2

Step-by-step explanation:

here is your solution.

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Answered by Cosmique
4

Given

  • ABCD is a quadrilateral
  • AB = 9 cm
  • AD = 15 cm
  • ∠ ABD = 90°
  • CE ⏊ BD
  • Ar (ABCD) = 72 cm²

To find

  • Length of CD = ?

Solution

Using Pythagorean theorem in ABD

➹ AD² = AB² + BD²

➹BD² = AD² - AB²

➹BD² = (15)² - (9)²

➹BD² = 144

BD = 12 cm

Now,

As we know

ar (∆) = 1/2×base ×height

so,

ar ( ABD) = 1/2 × AB × BD

ar ( ABD) = 1/2 × 9 × 12

ar ( ABD) = 54 cm²

Now,

as given that area of ABCD is 72 cm²

so,

ar ( CBD) = ar(ABCD) - ar ( ABD)

ar ( CBD) = ( 72 - 54 ) cm²

ar ( CBD) = 18 cm²

Then

also

ar ( CBD) = 1 /2 × BD × CE

18 cm² = 1 / 2 × 12 × CE

CE = 3 cm (Ans.)

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