If two triangles are similar with a zoom factor of 3, and the smaller one has area 12 sq. units, what is the area of the bigger one? the answer is 108, but i wana see how it was reached there

108

Step-by-step explanation:

Ratio of area of both triangles = (Ratio of their corresponding sides)^2

→

[area (smaller triangle) / area (larger triangle)] = (1/3)^2

→

[12 / area (larger triangle)] = (1/3)^2 = 1/9

→

Area of larger triangle = (12×9)/1 =108cm

sine

step-by-step explanation:

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.