Given the figure as marked, find the perimeter and area.
1 answer:
Answer:
Step-by-step explanation:
Left triangle: it has two congruent legs because has an angle of 45 degrees
AB = cm
the triangle on the the right is half on an equilateral one
BC = 12 cm
CH = 6√3 cm
AC= (6 + 6√3) cm
2p = 6 + 6√3 + 12 + 6√2 = 18 + 6√3 + 6√2 = 6(3 + √3 + √2) cm
Area = [6(1+√3) * 6]/2 = 18(1+√3) cm^2
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Answer:
64
Step-by-step explanation:
So here you're just completing the square. the equation you gave is simply: where c is the unknown value we're solving for. Whenever you complete the square, you add (b/2)^2
The reason for this, is because whenever you write a binomial as a perfect square it's in the form: and this binomial expands out to become:
If we write the second term of the binomial as b/2 we get:
which simplifies to:
and as you can see the last term is (b/2)^2, which is why we need to add that part for it to be a perfect square.
So we would need to add (16/2)^2 = 8^2 = 64
This way, we can express it as a perfect square binomial: which expands out to: