Asculptor is designing her new triangular masterpiece. in her scale drawing, the shortest side of the triangular piece to be made measures 4 cm.  the longest side of the drawing measures 34 cm.  the longest side of the actual triangular piece to be sculpted must be 16.9 m long. how long will the shortest side of this piece be?

The shortest side will be 198.82 cm (1.98 m) long

Step-by-step explanation:

This problem can be solved using proportions.

First we have that:

Shortest side in scale drawing = 4 cm

Longest side in scale drawing = 34 cm

Shortest side in actual piece = x cm

Longest side in actual piece = 16.9 m, but we know that 1 meter = 100 cm, therefore 16.9 meters would be 16.9 x 100 = 1690 cms.

Now we write down the proportion and solve for x

Therefore, the shortest side of piece will be 198.82 cm. (or 1.98 meters long)

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it