Question

The sides of a rectangle are 3 cm and 4cm. what is the length of both the diagonals​

Answer 1

Answer:

I think 8 cm

Step-by-step explanation:

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Answer 2

Question :-

The Sides of a Rectangle are 3 cm and 4 cm. What is the Length of both the Diagonals?

Solution :-

Given,

Length (l) = 4 cm

Breadth (b) = 3 cm

To Find, The Length of Both the Diagonals . . .

By Using the Pythagoras Theorem, (i.e.),

$\boxed {\bold {(Length)^2 + (Breadth)^2 = (Hypotenuse)^2}}$ ,

$\begin {aligned} \implies & 4^2 + 3^2 = (Hypotenuse)^2\\\\& \Rightarrow 16 + 9 = (Hypotenuse)^2\\\\& \Rightarrow 25 = (Hypotenuse)^2\\\\\therefore & \bold {Hypotenuse} = \sqrt{25} = \bold {5\: cm} \end{aligned}$

Hence, The Length of Both Diagonals are 5 cm . . .

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More to Know:

Pythagorean Theorem :

Pythagoras Theorem states that, "In a Right - Angled Triangle, the Square of the Hypotenuse is Equal to the Sum of Squares of the Other Two Sides"

This Theorem is named after a Greek Mathematician named Pythagoras . .

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