Question

See photo, it’s got to do with Pythagoras theorem but I don’t understand. Please help

Answer 1

Answer:

12.0 cm

Step-by-step explanation:

See attached image for steps.  Take the figure and convert it into a rectangle and right triangle by drawing a single line.  The Pythagorean  Theorem can then be used.

Answer 2

Answer:

x = 12.0 cm

Step-by-step explanation:

If we draw a line parallel to the 12 cm line right below the line x, a right-angled triangle is formed, with x as the hypotenuse and the shortest side equal to (8 - 7 = ) 1 cm.

∴ x² = 12² + 1²

⇒ x = $\sqrt{12^2 + 1^2}$

⇒ x = $\sqrt{144 + 1}$

⇒ x = $\sqrt{145}$

⇒ x = 12.0 cm   [3 s.f.]