Question

the length of the diagonal of a rectangular garden 34m. if it's longer side measures 30m , find the length of the shorter side of the garden.​

Answer 1

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

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

$\longrightarrow$ (34)² = (30)² + (x)²

$\longrightarrow$ 1156 = 900 + x²

$\longrightarrow$ x² = 1156 - 900

$\longrightarrow$ x² = 256

$\longrightarrow$ x = $\sf{\sqrt{256}}$

$\longrightarrow$ x = 16

Height = 16 m

$\therefore$ The Measure of shorter side of the Rectangle is 16 m.

Answer 2

Answer :

(Hypotenuse)² = (Base)² + (Height)²

==> (34)² = (30)² + (x)²

==> 1156 = 900 + x²

==> x² = 256

==> x = 16

.°. The shorter side is 16 m

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I'm sorry Sauron !

Maaf karde na yaar ! :(