Answer:
length= 42
width = 7
Step-by-step explanation:
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. y = 36°
a = 9.7
2. No.. wire H to P/Q is not a tangent
Step-by-step explanation:
see below
Answer:
The answer is 12.
Step-by-step explanation:
You would multiply each of them by 12 to get rid of all of the fractions.
This is because 12 is the least common multiple of the denominators. You can find that by lining up their multiples and looking for the one that is the smallest that they have in common.
3: 3, 6, 9. 12. 15
4: 4. 8. 12. 16, 20
6: 6. 12. 18. 24. 30
D because you can’t put a negative over a exponent
