Question

Solve this question

Answer 1

You have to split it into triangles
but you have to know how to use pythagorus in 3D shapes

Answer 2

Answer:

PQ = 13 cm

Step-by-step explanation:

You need to use the Pythagorean Theorem twice.

On the base of the cuboid, mark the point opposite P, point A. Point A is vertically below point Q. Now draw a segment from point P to point A.

The distance from point P to point A can be found using the Pythagorean Theorem.

(3 cm)^2 + (4 cm)^2 = (PA)^2

9 cm^2 + 16 cm^2 = (PA)^2

25 cm^2 = (PA)^2

PA = 5 cm

Segment PA is a side of triangle PAQ. Angle PAQ is a right angle. Sides PA and AQ are legs of the right triangle, and side PQ is the hypotenuse. Now we use the Pythagorean Theorem again.

(PA)^2 + (AQ)^2 = (PQ)^2

(5 cm)^2 + (12 cm)^2 = (PQ)^2

25 cm^2 + 144 cm^2 = (PQ)^2

169 cm^2 = (PQ)^2

PQ = 13 cm