Can 7, 8 and 11 be the sides of a right triangle? Justify your answer
1 answer:
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Answer:
Step-by-step explanation:
Since the chord is a tangent to the smaller circle, it will meet the radius of the smaller circle at right angle.
Let be the length of half of the chord. See diagram in attachment.
Then from Pythagoras Theorem,
We take the positive square root of both sides to obtain,
The length of the chord is
The correct answer is A
Answer:
a = 21
b = 63
c = 42√3
d = 21√3
Step-by-step explanation:
The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. The given side (42) is the longest side of the smallest triangle, and the shortest side of the largest triangle.
That means the other sides of the smallest triangle will be ...
a = 42/2 = 21
a+b = 2(42) = 84
b = (a+b) -a = 84 -21 = 63
d = 21√3 . . . . middle-length side of the smallest triangle
c = 42√3 . . . . middle-length side of the largest triangle
The values of the variables are ...
- a = 21
- b = 63
- c = 42√3
- d = 21√3
