A rectangular microchip has a length of 5 mm and a diagonal of 5 square root 2 mm. What is the area of the microchip?

Question

Thanks

Answer 1

the diagonal of a square divides the square into two 45-45-90 right triangles

therefore, if x is the length of a side, then the length of the diagonal is x√2

that's what you have here: 5 and 5√2

you have a square, 5 mm by 5 mm

A=s*s

A=5*5

A=25 square millimeters

if you did not see this then use the Pythagorean Theorem:

a^2+b^2=c^2

5^2+b^2=(5√2)^2

25+b^2=25*2

25+b^2=50

b^2=50-25

b^2=25

take the square root of both sides

b=5 mm