Question

the breath of a rectangle is 5cm and each of its diagonal measures 13 cm. find its length​

Answer 1

Answer:12

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Since each angle of a rectangle is right angle and diagonal divides the rectangle in two right triangles of equal area.

Hence, by Pythagoras theorem:

${length}^{2} + {breadth}^{2} = {diagonal}^{2} \\ {length}^{2} = {diagonal}^{2} - {breadth}^{2} \\ = {13}^{2} - {5}^{2} \\ = 169 - 25 \\ {length}^{2}= 144 \\ \therefore \: length \: of \: rectangle \: = 12 \: cm.$