Question

the length of the rectangle is 8cm. and each of its diagonal measure 10cm find its breadth

Answer 1

Answer:

6 cm

Step-by-step explanation:

Let us divide the rectangle into triangles considering the diagonal as the hypotenuse of one triangle .

By applying Pythagoras theorem we can say

⇒ side a = 8 cm

⇒ side b = x

⇒ side c = 10 cm

By putting the values in the formula we get

→ c² = b² + a²

→ 10² = x² + 8²

→ 100 = x² + 64

→ x² = 100 - 64 = 36

∴ x = √36 = 6 cm

Hope this helps :)