Question

what theorem will you use to find diagonal of a 10cm by 8cm rectangle?

Answer 1

Pythagoras theorem will be useful since the diagonal of the hypotenuse and bass as length

10^2+8^2=x^2
100+64=x^2
164=x^2
x=12.8 cm approx


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Answer 2

The length of diagonal of rectangle is 12.8 cm by using pythagorean theorem

Solution:

To find the diagonal of rectangle, we must use the pythagorean theorem

$c^2 = a^2 + b^2$

where a and b are the sides of the rectangle and c is the length of the diagonal

length of diagonal is the hypotenuse

From given,

a = 10 cm

b = 8 cm

Therefore,

$c^2 = 10^2 + 8^2\\\\c^2 = 100 + 64\\\\c^2 = 164\\\\Take\ square\ root\ on\ both\ sides\\\\c = 12.806\\\\c \approx 12.8$

Thus, length of diagonal of rectangle is 12.8 cm

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