Question

Three squares arejoined at the verticesto form a right triangle.The figure on the rightshows the areas of twoof the three squares.What could be the areaof the third square?A-32 inchesB-18 inchesC-576 inchesD-674 inches

Answer 1

Area of square = l²

Let's find the length of the square with area of 625

625 = l²

Take the square root of both-side of the equation

25 = l

l = 25 in

Let's find the length of the square with area of 49 in²

49 = l²

Take the square root of both-side

7 = l

l = 7 in²

Let's use this 2 lengths to find the length of the third square

Let the length of the third square be x

Using Pythagoras theorem,

x² = 25² - 7²

x² = 625 - 49

x² =576

Take the square root of both-side

x = 24

Area of the third side = l² = 24² = 576 in²