If the diagonals of a rhombus are 12 cm and 16 cm, find the length of each side.
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Answered by
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Answer:
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Step-by-step explanation:
Let ABCD is a RHOMBUS in which,
AB = AD = BC = DC.
Let Diagonal AC = 12 cm
And,
Diagonal BD = 16 cm
OA = 1/2 × AC = 1/2 ×16 = 8 cm
And,
OB = 1/2 ×AC = 1/2 × 12 = 6 cm
By pythagoras theroem,
Side (AB)² = (OA²+OB²)
AB² = (8)² + (6)²
AB² = 64+36
AB² = 100
AB = ✓100 = 10 cm
Hence,
Side of rhombus is 10 cm
Answered by
0
Answer:
10cm
Step-by-step explanation:
Given:
Diagonals of the Rhombus = 12cm and 16cm
To find:
The length of the side of the Rhombus. = ?
For Information:
- In a rhombus, diagonals bisect each other at right angles.
- All sides of the rhombus are equal.
- The sum of two adjacent angles is equal to 180 degrees
Solution:
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https://brainly.in/question/25057517
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https://brainly.in/question/14934663
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