Question

BELT is a rhombus. Find The Length Of The Side Of The Rhombus​

Answer 1

Answer: The side of the rhombus is 5 units

Step-by-step explanation:

BELT is a rhombus

As we know diagonal of a rhombus perpendicular bisect each other

Therefore Using Pythagoras Theorem

$(Hypotenuse)^2= (Base)^2 + (Perpendicular)^2\\\\\Rightarrow (x+1)^2= x^2+(x-1)^2\\\\\Rightarrow x^2+1+2x= x^2+ x^2+1-2x \\\\\Rightarrow x^2=4x \\\\\Rightarrow x(x-4)= 0 \\\\x=0 \text { or } x=4$

TL= x+ 1 = 4+1 = 5 unit

Hence, the side of the rhombus is 5 units

Answer 2

Step-by-step explanation:

BELT is a rhombus

As we know diagonal of a rhombus perpendicular bisect each other

Therefore Using Pythagoras Theorem

(Hypotenuse)^2= (Base)^2 + (Perpendicular)^2\\\\\Rightarrow (x+1)^2= x^2+(x-1)^2\\\\\Rightarrow x^2+1+2x= x^2+ x^2+1-2x \\\\\Rightarrow x^2=4x \\\\\Rightarrow x(x-4)= 0 \\\\x=0 \text { or } x=4

TL= x+ 1 = 4+1 = 5 unit

Hence, the side of the rhombus is 5 units