Seth is using the figure shown below to prove pythagorean theorem using triangle similarity:

in the given triangle abc, angle a is 90o and segment ad is perpendicular to segment bc.

the figure shows triangle abc with right angle at a and segment ad. point d is on side bc.

which of these could be a step to prove that bc2 = ab2 + ac2?
a

by the cross product property, ab2 = bc multiplied by bd.
b

by the cross product property, ac2 = bc multiplied by bd.
c

by the cross product property, ac2 = bc multiplied by ad.
d

by the cross product property, ab2 = bc multiplied by ad.

answer: 25 is the correct answer

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.

or

b

step-by-step explanation: