"in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides."
what does the above statement represent?
a.
definition
b.
undefined term
c.
theorem
d.
postulate

C

Step-by-step explanation:

It is provable about 180 ways, some of them quite elegant. There was a book published in the 1940s listing what they then knew. Others have been added since and it shows up in the oddest places which you can search out.

That is interesting but it does not answer your question.

A: Nothing is defined. This statement is a truth, but unproved. A is not the answer.

B: No term requires defining unless you don't know what a hypotenuse is, but that is a separate problem.

D: a postulate is a statement that is true that cannot be proven nor does it need to be. There aren't that many around in math. Euclid said "All right angles are congruent." True and not needing proof.

C: It is a theorem. This is a statement that may not be obvious and does require proof.

sum= when you add is how much the whole amount is

distance= when you use angles and it means how far it goes

step-by-step explanation:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.