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:
1:15 2:12 3:9 5:3
Step-by-step explanation:
All you have to do is plug in the # under the letter x , and plug it into the equation. For example 18 - 3 x 1 , is just saying what is 18 - 3 . Another example would be 18 - 3 x 2 . the equation is simply just 18 - 6 . Just plug in the x numbers in the equation. Hope my answer helped , and good luck! : )
Answer:
g + 15 = 40
or
40 - 15 = g
Step-by-step explanation:
Answer: the number is 20, as the denominator 9 multiplied by 4 is 36. simply multiply the numerator by 4.
