Find the length of the diagonal of arectangle whose breadth and length

1.	Find the length of the diagonal of arectangle whose breadth and lengthare 8 cm and 15 cm, respectively.
Answer» 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.

Find the length of the diagonal of arectangle whose breadth and lengthare 8 cm and 15 cm, respectively.

Answer»

Answer:

Length of diagonal = 17 CM.

Step-by-step explanation:

Given that :

To find :

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.