Math, asked by rasikamanivade, 2 months ago

*10 सेमी बाजूच्या समभुज चौकोनाचा एक कर्ण 16 सेमी असल्यास चौकोनाचे क्षेत्रफळ किती?*

1️⃣ 80 चौसेमी
2️⃣ 128 चौसेमी
3️⃣ 48 चौसेमी
4️⃣ 96 चौसेमी​

Answers

Answered by RvChaudharY50
1

Given :-

  • Side of rhombus = 10 cm.
  • Diagonal of rhombus = 16 cm.

To Find :-

  • Area of rhombus = ?

Answer :-

As we know that,

  • Diagonals of a rhombus bisect each other at 90° .

Let us assume that , diagonal of other diagonal is 2x cm .

So,

→ (D1/2)² + (D2/2)² = (side)²

→ (2x/2)² + (16/2)² = 10²

→ x² + 8² = 100

→ x = √(100 - 64)

→ x = 6 cm .

then,

→ Diagonal of other diagonal = 2x = 2 * 6 = 12 cm.

therefore,

→ Area of rhombus = (1/2) * D1 * D2 = (1/2) * 16 * 12 = 96 cm². (Ans.)

Learn more :-

ABCD is a rhombus with A = 60° , BC = (3x+5)cm , CD =(6x-10)cm and AC =(3y-1)cm. Find

x and y.

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n...

brainly.in/question/25624939

3.

In the fig, AB || CD,FIND x.(Hint:Prove that AOB-COD).

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