Seth is using the figure shown below to prove pythagorean theorem using triangle similarity.
in the given triangle abc, angle a is 90° and segment ad is perpendicular to segment bc.
part a: identify a pair of similar triangles. (2 points)
part b: explain how you know the triangles from part a are similar. (4 points)
part c: if db = 9 and dc = 4, find the length of segment da. (4 points)

c. he organized a political resistance group based on islam.

your correct answer is c. he organized a political resistance group based on islam.

im sorry for the poor quality answer.

Part A: Triangle ABD is similar to Triangle ACD

Part B: Using HL Theorem, we can determine these 2 right triangles to be similar

Part C: DA = 3

Step-by-step explanation:

We can use HL (Hypotenuse-Leg) Theorem to help determine similarity. Since DA perpendicular bisects BC, we know that it forms the altitude and forms right triangles, which gives us legs and a hypotenuse,

To find DA, we are given right triangle ACD. We know that one leg, CD, is equal to 4. We also know that 3-4-5 is a Pythagorean Triple, so DA would be 3 and AC would be 5.

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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