Question

Find lengthof rectangle having breadth 8 units and diagonal 17 units

Answer 1

Answer:

By using Pythagoras theorem,

(length)=√(289-64)

(length)=√225

(length)= 15 units..

Answer 2

Answer:

Step-by-step explanation:

Given:

Breadth of rectangle = 8 units

Diagonal of rectangle = 17 units

To find:

Length of rectangle , $l$ .

Solution:

Let the rectangle be PQRS where

Length = PQ = RS

Breadth = PR = QS

Step 1:

From given data,

$PQ=RS = l units$  ( length)

$PR=QS=8 units$ ( breadth)

and

$QR = 17 units$   ( Diagonal)

Step 2:

Rectangle is a combination of two right-angled triangle.

From this concept , Pythagorean theorem can be applied to find the length of rectangle.

The theorem states that "In a right-angled triangle , the square on the hypotenuse (diagonal) is equal to the sum of squares of other two sides"

By this,

$QR^{2} = PQ^{2} + PR^{2} \\\\17^{2} = l^{2} + 8^{2} \\\\289 = l^{2} + 64\\\\ l^{2} = 289 - 64\\\\ l^{2} = 225\\\\l=\sqrt{225}\\\\ l=15$

Step 3:

Length of rectangle = PQ = $15 units$

#SPJ3