Question

the breadth of a rectangle is 5 cm and each of its diagonal measure 13 cm find its length​

Answer 1

Answer:

12 cm

Step-by-step explanation:

We know that each angle of a rectangle is 90° ,

So, by applying Pythagoras Theorem we can find the lenght of the rectangle.

Diagonal ^2 = Breadth ^2 + Lenght ^2

Lenght ^2 = Diagonal ^2 - Breadth ^2

Lenght ^2 = (13)^2 - (5)^2

Lenght ^2 = 169 - 25

Lenght ^2 = 144

Lenght = root 144

Lenght = 12 cm

So the lenght of the rectangle is = 12 cm

Hope it helps you!

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Answer 2

diagonal² = length ² + breadth²

length ² = diagonal ² - breadth ²

length

$\sqrt{13 {}^{2} } - \sqrt{5 {}^{2} } \\ \sqrt{169 - 25} \\ \sqrt{144 } = 12$

length = 12cm

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