Question

6. Which measurement is closest to the value of x?
x cm
5 cm
12 cm

Answer 1

To find the value of x, let us use the pythagoras theorem .

According to the pythagoras theorem, the square on the hypotenuse will be equal to the sum of the squares on the other two sides .

Which means :-

$= {5}^{2} + {12}^{2} = {x}^{2}$

$= 25 + 144 = {x}^{2}$

$= 169 = {x}^{2}$

$= 13 \times 13 = x \times x$

$\color{olive} x = \color{hotpink}13 \: \: cm$

The measurement which is closest to the value of x, is 12 cm, so the right answer would be 12 cm .

Therefore , the measurement which is closest to the value of x is :-

$\boxed{ \: \bold\color{plum}12 \: \: cm \: }$