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
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Then the area (A) is ...
... A = (1/2)bh
... A = (1/2)(12.5)(√21) ≈ 28.64 square units
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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.
Answer:
d
Step-by-step explanation:
look at the x and y axis
Answer:
Cycle : Scooter = 15 : 30
or, Cycle : Scooter = 1 : 2
Step-by-step explanation:
Answer:
EBC and CBF are supplementary.
EBD=66
Step-by-step explanation:
Since vertical angles are congruent, ABE=CBF
ABE=40-x
40-x + 6x-30=90
5x+10=90
5x=80
x=16
16(6)-30=66
Answer:
-19
Step-by-step explanation:
Take the second term and subtract the first term to find what we are adding (or subtacting ) each time
-7 -(-3) =
-7+3
-4
We are subtracting 4 each time
Subtract 4 from the next term
-15 -4 = -19
The next term is -19
