Question

. The length of a rectangle is 8 cm and each of its diagonals measures 10 cm. The bread
of the rectangle is
(a) 5 cm
(b) 6 cm
(c) 7 cm
(d) 9 cm​

Answer 1

Answer:

I have solve the problem. Hope it helps.

Answer 2

Answer:

The breadth is 6 cm

Step-by-step explanation:

Let,

ABCD be the given rectangle

In ∆ ACD,

Hypotenuse = AC = 10 cm

Height = AD = x

Base = DC = 8 cm

By Pythagoras Theorem

Hypotenuse ² = Base² + Height ²

⇒ 10² = 8² + x²

⇒ 100 = 64 + x²

⇒ x² = 100 - 64

⇒ x² = 36

⇒ $x \: = \: \sqrt{36}$

⇒ x = 6

Therefore,

The breadth is 6 cm