Answer:
hello! in short the answer is B! i took the test and didnt do very good but id thought id share this to help some people!
much love!~ chi chi
You found CD from the Pythagorean theorem to be ...
... CD = √(5² -2²) = √21
Since triangle ADC ~ triangle ACB, the ratios of corresponding sides are the same:
... AC/AD = AB/AC
... AB = AC²/AD
... AB = 5²/2 = 12.5 . . . . . . . the base of the overall triangle
_____
Then the area (A) is ...
... A = (1/2)bh
... A = (1/2)(12.5)(√21) ≈ 28.64 square units
_____
As you see here, the altitude of a right triangle divides it into three similar triangles. From smallest to largest, they are ...
... ADC ~ CDB ~ ACB
You can figure this using AAA similarity, since the smallest and largest triangles listed above share an acute angle vertex (∠A). That, together with the right angle, means all angles are congruent. After that, then you know ∠ACD ≅ ∠CBD, so you can show the middle sized triangle is similar to the other two.
As an improper fraction, it is
.
Answer:
x²-2x+1
Step-by-step explanation:
(x-1) (x-1)
(x-1)²
(x)²-2(x)(1)+(1)²
x²-2x+1
Answer: 36
Step-by-step explanation:
8-2+30
6+30
36
