Question

Length of a rectangle is 4cm and diagonal is 5cm. what is the breadth of the rectangle?​

Answer 1

Answer:

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Step-by-step explanation:

Draw the figure. Label one side of the rectangle 4, and the diagonal 5. You need to find the other side of one of the right triangles. Label it x.

So use the Pythagorean Theorem.

a^2 + b^2 = c^2

4*2 + x^2 = 5^2

16 + x^2 = 25

x^2 = 9

x = 3.

Now multiply the length and width of the rectangle. 3 x 4 = 12.

Answer 2

Answer:

Breadth = 3 cm

Explanation:

AB = 4 cm

AC = 5 cm

Breadth = ?

ABCD is a rectangle.

$\angle{ABC} = 90\degree \\ \implies \: \bold{ABC \: is \: right \: angle \: \triangle.} \\ \\ \: \boxed{\underline{{AB}^{2} + {BC}^{2} = {AC}^{2}} } \\{4}^{2} + {BC}^{2} = {5}^{2} \\ {BC}^{2} = 25 - 16 \\ {BC}^{2} = 9 \\ {BC}^{ \cancel2} = {3}^{ \cancel2} \\ \implies \: \boxed{ \bold{{BC} = 3 \: cm}}$