Question

If the length of the rectangle is 12 cm and diagonal is 13 cm find its breadth

Answer 1

Answer:

5 cm

Step-by-step explanation:

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Answer 2

$\large\bf\underline{Given:-}$

• Length of rectangle = 12cm

$\large\bf\underline {To \: find:-}$

• we need to find the breadth of rectangle

$\huge\bf\underline{Solution:-}$

★ Diagram

$\setlength{\unitlength}{1.6cm}\begin{picture}(8,2)\thicklines\put(7.7,3){\large{A}}\put(9.5,1.7){\tt{\large{13cm}}}\put(7.7,1){\large{B}}\put(9.2,0.7){\tt{\large{}}}\put(11.1,1){\large{C}}\put(8,1){\line(1,0){3}}\put(8,1){\line(0,2){2}}\put(11,1){\line(0,3){2}}\put(8,3){\line(3,0){3}}\put(11.1,2){\sf{\large{12 cm}}}\put(8,1){\line(3,2){3}}\put(11.1,3){\large{D}}\put(10.8,1){\line(0,2){0.2}}\put(10.8,1.2){\line(2,0){0.2}}\end{picture}$

• Length of rectangle = 12cm
• Diagonal of rectangle = 13cm

we know that,

»★ Diagonal² = length² + breadth²

≫ Breadth = √Diagonal² - length²

Breadth = √13² - 12²

Breadth = √169 - 144

Breadth = √25

Breadth = 5cm

Hence,

★Breadth of rectangle = 5cm.

$\rule{200}3$

formulas related to rectangle:-

»★ Area of rectangle = (l × b)

»★ perimeter of rectangle = 2 ×(l + b)

»★ Length of rectangle = $\tt\frac{Area}{Breadth}$

»★ Breadth of rectangle = $\tt\frac{Area}{Length}$

»★ Diagonal of rectangle = √l² + b²

where,

• ≫ l = length
• ≫ b = Breadth

$\rule{200}3$