Question

the length of the diagonal of a rectangular garden is 34m. if its longer side measures 30m, find the length of the shorter side

Answer 1

34m-30m
=4m
Therefore,the shorter side measures 4m

Answer 2

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The Measure of shorter side of the Rectangle is 16 m.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Diagonal of the Rectangular Garden = 34m

Longer side measures = 30m

To Find :

The Length of the shorter side of the garden.

Solution :

Refer the Attachment for the diagram.

By Pythagoras Theorum -

The Diagonal of the Rectangle is the Hypotenuse.

Measure of the shorter side is the Height.

The longer side (Length) is the Base

In ∆ ACD -

Hypotenuse = 34

Height = x

Base = 30

(Hypotenuse)² = (Base)² + (Height)²

⟶ (34)² = (30)² + (x)²

⟶ 1156 = 900 + x²

⟶ x² = 1156 - 900

⟶ x² = 256

⟶ x = √256

⟶ x = 16

Height = 16 m

∴ The Measure of shorter side of the Rectangle is 16 m.