Question

find the length of diagonal of a rectangle whose length is 24 cm and breadth is 7 cm​

Answer 1

Assume the rectangle be ABCD and length be AC & BD and Breadth BA & CD. Let their be AC. As all angles of rectangle measures 90 degree. So if the diagonal is drawn in recangle so it forms 2 right angled triangle and now we use PYTHAGORAS THEOREM.

Let triangle ABC be a right angled triangle. Now the lenght be x and breadth be y and diagonal (hypotenuse)be z.

According to Pythagoras theorem.

(x)square+(y)square=(z)square

Let x=24

y=7

(24×24)+(7×7)(z)square

576+49=625

Now square root of 625 is 25. So the diagonal is 25 cm

Answer 2

Answer:

Diagonal of rectangle is 25 cm.

Step-by-step-explanation:

The diagonal of rectangle is like a hypotenuse.

So, by Pythagors Theorem

(Hypotenuse)² = (Length)² + (Breadth)²

=> (Diagonal)² = (24)² + (7)²

=> (Diagonal)² = 576 + 49

=> (Diagonal)² = 625

=> Diagonal = 25 cm

Hence,

Diagonal of rectangle is 25 cm.