Find the length of the diagonal of a rectangle whose sides are 24a and

1.	Find the length of the diagonal of a rectangle whose sides are 24a and 7a units.
Answer» Answer: Diagonal of rectangle = 25a units Step-by-step explanation: Given: Length of rectangle = 24a Breadth of rectangle = 7a To find: Length of diagonal of rectangle = ? SOLUTION: The diagonal of a rectangle divides it into 2 right angled triangles. Applying PYTHAGORAS THEOREM, (Diagonal)² = (Length)² + (Breadth)² ➝ (Diagonal)² = (24a)² + (7a)² ➝ (Diagonal)² = 576a² + 49a² ➝ (Diagonal)² = 625a² ➝ Diagonal = √625a² ➝ Diagonal = 25a ∴ Diagonal = 25a units

Find the length of the diagonal of a rectangle whose sides are 24a and 7a units.

Answer»

Answer:

Step-by-step explanation:

Given:

To find:

The diagonal of a rectangle divides it into 2 right angled triangles.

(Diagonal)² = (Length)² + (Breadth)²

➝ (Diagonal)² = (24a)² + (7a)²

➝ (Diagonal)² = 576a² + 49a²

➝ (Diagonal)² = 625a²

➝ Diagonal = √625a²

➝ Diagonal = 25a

∴ Diagonal = 25a units