Find the perimeter of a rectangle whose breadth is 10cm and diagonal is 26 cm
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Answer:
- Breadth of rectangle= 10 cm
- Diagonal of rectangle = 26 cm
_____________________
- Perimeter of the rectangle
_____________________
Since, the ACB = 90°
→ So, by using Pythagoras Theorem,
AC² + CD² = AD²
CD² = (26) ² - (10) ²
CD²= 676 - 100
CD² = 576
CD = √576
CD = 24
Therefore,
Length of rectangle = 24 cm
_____________________
→ Perimeter of rectangle = 2 (L + B)
= 2 (24 + 10)
= 2 (34)
= 68 cm
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