Question

What is the side length of the smallest square plate on which it 34-cm chopstick can fit along a diagonal without any overhang.

round to the nearest tenth.

please i need help :((

Answer 1

√578 = 24.0cm

Explanation:

sin x = opp/hyp sin (45)* 34 = 24.0416306 = 24.0cm to one tenth This is because diagonals of a square intersect (cross) in a 90 degree angle. This means that the diagonals of a square are perpendicular. The diagonals of a square are the same length (congruent). You can check this with Pythagoras Theorem afterwards - 34^2 - 24.0416306^2 = 24.0416306^2 = sqrt 1156 - sqrt 578 = sqrt 578

Answer 2

24.04

Explanation:

Let us set x as the side length of the square plate.

x² + x² = 34²

2x²= 1156

x² = 578

x ≈ 24.04