Question

3. Find the lengths of the diagonals of a rectangle
whose sides are 24 cm and 10 cm.​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

26 cm

Step-by-step explanation:

Given there is a rectangle.

Dimensions of rectangle are,

• Length, l = 24 cm
• Breadth, b = 10 cm

To find the length of diagonal.

Let the length of diagonal be 'd' cm.

Now, we know that,

The Length, Breadth and the diagonal forms a right angled triangle.

Where, The length and breadth works as perpendicular and base forming the right angle and the diagonal works as the hypotenus.

Therefore, by pythagoras theorem, we have,

$= > {d}^{2} = {l}^{2} + {b}^{2} \\ \\ = > {d}^{2} = {(24)}^{2} + {(10)}^{2} \\ \\ = > {d}^{2} = 576 + 100 \\ \\ = > {d}^{2} = 676 \\ \\ = > d = \sqrt{676} \\ \\ = > d = 26$

Hence, the diagonal is of 26 cm.