Question

Given the following information: calculate the perimeter of triangle rst. assume rzx is similar to rst. rz=21, ry= 24, rx= 39, zy=9 and sw=18

Answer 1

If triangle RST and RZX are similar then the perimeter of triangle RZX is 150 units.

Given triangle RZX and RST are similar and RZ=28, RY=40,ZY=16 and SW=24.

In the similar triangles the ratio of sides are in proportion to the sides of other triangle.

The ratio of ZY to SW is 16:24 meaning it is 2:3. So all the sides of RST are 1.5 times as long as RZX.

RZ=28 so RS=28*1.5=42

RX=40 so RT=40*1.5=60

ZX=ZY+XY and since they are the of the same length , ZX=32 (ZY given)

Then ST=48

Perimeter of a triangle is the sum of sides of the triangle.

Perimeter of RST=RS+ST+RT

=42+60+48

=150

Hence the perimeter of triangle RST is 150 units.

Learn more about perimeter at brainly.com/question/19819849

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Question is incorrect as it should be as under:

Given the following information, calculate the perimeter of triangle RST. Assume triangle RZX is similar to RST. RZ=28, RY=40, ZY=16 and SW=24.

Figure should also be given.