Math, asked by chauhanmanik93, 4 months ago


Find the area of a rhombus if the measure of each side is 26 cm and one of its diagonals is 48 cm.

Answers

Answered by TheBrainliestUser
77

Answer:

  • Area of a rhombus is 480 cm².

Step-by-step explanation:

Given that:

  • The measure of each side of a rhombus is 26 cm.
  • One of its diagonals is 48 cm.

To Find:

  • Area of a rhombus.

Formula used:

  • Q = 2 × √{a² - (P/2)²}
  • A = (P × Q)/2

Here,

  • a = Side of a rhombus
  • P = One of the diagonal of a rhombus
  • Q = Other diagonal of a rhombus
  • A = Area of rhombus

First finding the other diagonal of rhombus:

Q = 2 × √{26² - (48/2)²}

Q = 2 × √{26² - 24²}

Q = 2 × √{676 - 576}

Q = 2 × √{100}

Q = 2 × 10

Q = 20

Other diagonal of a rhombus = 20 cm

Now finding the area of a rhombus:

A = (48 × 20)/2

A = 960/2

A = 480

Area of a rhombus = 480 cm²

Answered by Anonymous
63

Answer:

Given :-

  • The measure of each side is 26 cm and one of its diagonal is 48 cm.

To Find :-

  • What is the area of the rhombus.

Formula Used :-

Area of Rhombus = d × d/2

where,

  • d₁ = One diagonal
  • d₂ = Other diagonal

Solution :-

First, we have to find the other diagonal of rhombus :

By using Pythagoras theorem we get,

(BO)² + (AO)² = (BA)²

(BO)² = (BA)² - (AO)²

(BO)² = (26)² - (24)

(BO)² = 676 - 576

(BO)² = 100

BO = √100

BO = 10 cm

Then, BO = 10 × 2 = 20 cm

Hence, it's other diagonal is 20 cm.

Now, we have to find the area of the rhombus :

Given :

  • d₁ = 48 cm
  • d₂ = 20 cm

According to the question by using the formula we get,

Area of Rhombus = 48 × 20/2

Area of Rhombus = 48 × 10

Area of Rhombus = 480 cm²

The area of the rhombus is 480 cm².

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