Question

Find its perimeter. 15. The diagonals of a rhombus measure 10 cm and 24 cm . find its perimeter ..



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Answer 1

Answer:

Here, AC = 24 cm and BD = 10 cm, therefore, AO = 12 cm and BO = 5 cm.

Now to find the perimeter, we need the length of AB.

Let’s find AB using the pythagoras theorem in ABC,

AB² = AO² + OB²

AB² = 122 + 52

AB² = 144 + 25

AB² = 169

AB = √169

AB = 13 cm

Since the length of one side of the rhombus is AB = 13 cm, perimeter of the rhombus, P = 4 × side of a rhombus

P = 4 × AB

P = 4 × 13 = 52 cm

perimeter - 52cm

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Answer 2

Answer:

If the diagonals of a rhombus are 10 cm and 24 cm find its perimeter.

A rhombus can be defined as a diamond-shaped quadrilateral that has all four sides equal.

Answer: If the diagonals of a rhombus are 10 cm and 24 cm then the perimeter of the rhombus is 52 cm.

Let's find the perimeter of the rhombus.

Explanation:

Let us observe the diagram of the rhombus with the diagonals 10 cm and 24 cm.

Here, AC = 24 cm and BD = 10 cm, therefore, AO = 12 cm and BO = 5 cm.

Now to find the perimeter, we need the length of AB.

Let’s find AB using the pythagoras theorem in ABC,

AB2 = AO2 + OB2

AB2 = 122 + 52

AB2 = 144 + 25

AB2 = 169

AB = √169

AB = 13 cm

Since the length of one side of the rhombus is AB = 13 cm, perimeter of the rhombus, P = 4 × side of a rhombus

P = 4 × AB

P = 4 ×13 = 52 cm

hope it will help you brother