Question

Perimeter of a rectangle LUCK is 34 cm. its breadth LK = 5 cm, find the length of its diagonal LC.​

Answer 1

Answer:

LC = 13 cm

Step-by-step explanation:

P = 2(l+b) = 34

b = 5 cm(given)

therefore,

2(l+5) = 34

l+5 = 17

therefore,

l = 12 cm

In right triangle LCK,

LK² + KC² = LC² (Pythagoras Theorem)

LC² = (5)² + (12)²

LC² = 25 + 144

LC² = 169

Therefore,

LC = 13 cm

Therefore length of LC is 13 cm.

Answer 2

Given:

Perimeter of the rectangle LUCK = 34 cm

Breadth LK = 5 cm

To Find:

The length of it's diagonal LC.

Formula:

AB squared + BC squared = AC squared

It is known as Pythagoras Theorem

Perimeter of a rectangle = 2 ( Length + Breadth )

Explanation:

Perimeter of LUCK = 2 ( Length + Breadth )

or, 34 cm = 2 ( Length + 5 cm )

or, 34/2 cm = Length + 5 cm

or, 17 cm - 5 cm = Length

or, 12 cm = Length CK

CK squared + LK squared = CL squared

or, 12 squared + 5 squared = CL squared

or, 144 + 25 = CL squared

or, √169 = 13 = CL

Answer:

The length of the diagonal CL is 13 cm.