Question

Adjacent sides of a rectangle are in the ratio 5 : 12, if the perimeter of rectangle is 34 Cm, Find the length of the diagonal.​

Answer 1

$\huge\underline\mathrm{SOLUTION:-}$

AnswEr:

• The length of the diagonal = 13 Cm.

Given:

• The adjacent sides of a rectangle are in the ratio 5 : 12.
• Perimeter of rectangle is 34 Cm.

Need To Find:

• The length of the diagonal = ?

ExPlanation:

Let the sides be 5x and 12x.

Then,

5x + 12x + 5x + 12x = 34

➠ 34x = 34

➠ x = 1 Cm

• Hence, the sides are 12 Cm and 5 Cm.

The length of the diagonal = √(5² + 12²) (In a right angled triangle applying Pythagoras theorem)

➠ √(25 + 144)

➠ √169 = 13 Cm.

ThereFore:

• The length of the diagonal is 13 Cm.

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Answer 2

Step-by-step explanation:

length of diagonal is 13 cm

I hope it will satisfy you