Question 874627
Q:
The sides of a rectangale are in the ratio 2:1 .The length of each side diagonal of this rectangle is 23 cm. Find the length of each side of the of the rectangle correct to 2 decimal places.
A:
The side of the rectangles are 2k and k.
Two adjacent sides and a diagonal formed a right triangle.
Using Pythagorean Theorem:
{{{(2k)^2 + k^2 = 23^2}}}
{{{4k^2 + k^2 = 529}}}
{{{5k^2 = 529}}}
{{{k^2 = 105.8}}}
Get the positive square root of both sides
k = 10.28591 and 2k = 20.57183
Answers: {{{highlight(10.29)}}} cm and {{{highlight(20.57)}}} cm.