Question

Find x
give your answer to 3 significant fingers

Answer 1

Explanation:

x = 1.637 mm

Pythagorean theorem:

We can use Pythagorean theorem, to find the unknown side for a right angled triangle.

The side opposite to 90 is the longest side and it is the hypotenuse.

Base² + altitude² = hypotenuse²

x² + 6.6² = 6.8²

x² + 43.56 = 46.24

x² = 46.24 - 43.56

x² = 2.68

x = √2.68

`\sf \boxed{\bf x = 1.637 \ mm }`

Answer 2

1.64

Explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

6.6^2 + x^2 = 6.8^2

43.56+x^2=46.24

Subtract 43.56 from each side

x^2 = 46.24-43.56

x^2 =2.68

Take the square root of each side

sqrt(x^2) = sqrt(2.68)

x =1.637080554

To 3 significant digits

x = 1.64