Calculate circumference. You can do the math mentally with area & perimeter,but circumference is much more complex
Answer:
Step-by-step explanation:
Represent:
- The opposite with a
- The adjacent with b
- The hypotenuse with c
Given that:
Required
Solve for a, b and c
So, we have:
Subtract 1 from both sides
Apply Pythagoras Theorem
Substitute 3 + 3b for a and 4 + 3b for c
Open brackets
Collect Like Terms
Expand
Factorize:
Split:
But the adjacent of a triangle can't have a negative measurement.
So:
Recall that:
Substitute 7 for b in the above expressions
Hence, the dimensions of the triangle are:
Answer: Choice B) {3, 5, sqrt(34)}
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Explanation:
We can only have a right triangle if and only if a^2+b^2 = c^2 is a true equation. The 'c' is the longest side, aka hypotenuse. The legs 'a' and 'b' can be in any order you want.
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For choice A,
a = 2
b = 3
c = sqrt(10)
So,
a^2+b^2 = 2^2+3^2 = 4+9 = 13
but
c^2 = (sqrt(10))^2 = 10
which is not equal to 13 from above. Cross choice A off the list.
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Checking choice B
a = 3
b = 5
c = sqrt(34)
Square each equation
a^2 = 3^2 = 9
b^2 = 5^2 = 25
c^2 = (sqrt(34))^2 = 34
We can see that
a^2+b^2 = 9+25 = 34
which is exactly equal to c^2 above. This confirms the answer.
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Let's check choice C
a = 5, b = 8, c = 12
a^2 = 25, b^2 = 64, c^2 = 144
So,
a^2+b^2 = c^2
25+64 = 144
89 = 144
which is a false equation allowing us to cross choice C off the list.
The answer is a because you divide 135÷9=15 and 102÷6=17 . 17-15=2
The wrong statement: The volume or the smaller cone cannot be determined because its height is unknown.
We already know that the larger cone has a height of 8 cm and that the smaller cone is just 1/4 of 8 cm.
8×1/4 = 2 cm.
You can still find its volume by using the formula 1/3πr^2.
