Find the length of the diagonal of a
rectangle whose breadth and length
are 8 cm and 15 cm, respectively.
Answers
Answer:
Length of diagonal = 17 cm.
Step-by-step explanation:
Given that :
- Length of rectangle = 15 cm
- Breadth of rectangle = 8 cm
To find :
- The length of the diagonal of rectangle.
Solution :
Let the length of the diagonal of the rectangle be x cm.
[Refer to the attachment for the picture]
We know that,
The diagonal of the rectangle, cuts it into two right triangles. Here, the hypotenuse of the triangle is the diagonal of the rectangle.
In ΔABD, ∠A = 90°.
Using Pythagoras Theorem ;
BD² = AD² + AB²
⇒ x² = (8)² + (15)²
⇒ x² = 64 + 225
⇒ x² = 289
⇒ x = ± √289
⇒ x = ± 17
Since, length can't be negative.
∴ BD = x = 17 cm
Hence, the diagonal of the rectangle is 17 cm.
Answer:
Diagonal of rectangle is 17 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 = (15)² + (8)²
=> (Diagonal)² = 225 + 64
=> (Diagonal)² = 289
=> Diagonal = 17 cm
Hence,
Diagonal of rectangle is 17 cm.