Question

The length of reactangle is 15cm and each of its
diagnols measures 17cm find its periemeter​

Answer 1

Step-by-step explanation:

let's divide the rectangle into 2 triangles with diagonal as hypotenuse.

√(17²-15²) = breadth

√(289-225) = breadth

√64 =breadth

8 CM = breadth

Then,

perimeter = 2(l+b) = 2(15+8) = 2*23 = 46cm

Answer 2

Answer :-

46 cm

Solution :-

Length of the rectangle ( l ) = 15 cm

Diagonal of the rectangle ( d ) = 17 cm

Let the breadth of the rectangle be 'b' cm

Consider the right triangle formed by length, breadth and diagonal

In this right triangle diagonal is hypotenuse

By Pythagoras theorem

==> l² + b² = d²

==> 15² + b² = 17²

==> 225 + b² = 289

==> b² = 289 - 225

==> b² = 64

==> b = √64 = ± 8

Breadth cannot be negative

==> b = 8

Perimeter of the rectangle = 2(l + b)

= 2(15 + 8)

= 2 × 23

= 46 cm

Therefore the perimeter of the rectangle is 46 cm.