Question

construct a rectangle PQRS, In which AB= 8cm and diagonal AC= 10cm​

Answer 1

A rectangle can be constructed using a straightedge, and a setsquare or compass

Please find attached the drawing of rectangle ABCD

The steps to construct the rectangle ABCD are as follows:

Question:

The missing part of the question is the name of the rectangle = ABCD

The given parameters are;

The length of the side AB = 8 cm

The length of the diagonal of the rectangle ABCD = AC = 10 cm

The steps to construct a rectangle are;

• Draw the segment $\overline{AB}$ = 8 cm on a plane

• Draw perpendicular lines at points A and B with length h given by Pythagoras's theorem as follows

h² = $\overline{AC}$² - $\overline{AB}$²

∴ h² = 10² - 8² = 36

h = √36 = 6

h = 6 cm = The length of the sides $\mathbf{\overline{AD}}$ and $\mathbf{\overline{CB}}$

• Draw arcs with radius 6 cm from points A and B to intersect the perpendicular lines drawn from points A and B on the same side of the line $\overline{AB}$ at points D and C

• Joint point C to D with a straight line which is segment  $\overline{CD}$ and which completes the rectangle ABCD

Learn more about the construction of basic shapes here;

https://brainly.com/question/17440931