The statements below can be used to prove that the triangles are similar.

on a coordinate plane, right triangles a b c and x y z are shown. y z is 3 units long and b c is 6 units long.
startfraction a b over x y endfraction = startfraction 4 over 2 endfraction

?

startfraction a c over x z endfraction = startfraction startroot 52 endroot over startroot 13 endroot endfraction

△abc ~ △xyz by the sss similarity theorem.

which mathematical statement is missing?

startfraction y z over b c = startfraction 6 over 3 endfraction
∠b ≅ ∠y
startfraction b c over y z endfraction = startfraction 6 over 3 endfraction
∠b ≅ ∠z

The similarities of triangles can be proved using SSS theorem.

The missing mathematical statement is:

Because the similarities of both triangles is being proved using SSS, then only the sides would be compared

Sides AB, AC, XY and XZ have already been compared.

So, the missing mathematical statement is the ratio of sides BC and YZ

From the question, we have:

So, the missing statement is:

Read more about similarities of triangles at:

link

the radius is 2 times the diameter.

step-by-step explanation:

multiply length by height. multiply the length by the height, and then double the product. work out 10 x 10 results = 100 square inches, then work out 100 x 2 = 200. the answer is 200 square inches.

step-by-step explanation: