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.
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Answers & Comments
Answer:
Length of diagonal = 17 cm.
Step-by-step explanation:
Given that :
To find :
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.