3 years ago

Find x. Question 1 options: 6 3 9 12

Mathematics

1 answer:

fredd [130]3 years ago

6 0

Maybe it’s 3 but it actually depends on the equation . . .

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2 years ago

Find the value of b.

Scrat [10]

Answer:

Step-by-step explanation:

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3 years ago

The perimeter of Δ ABC is 450 ft. If AB= 9x, BC=41x and CA=40x, what is the area of the triangle?

Nikolay [14]

Answer:

$A = 4500 ft^2$

Step-by-step explanation:

By definition:

The pre-meter P of a triangle ABC is equal to the sum of the length of its sides.

We know that:

$P = 450\ ft\\AB = 9x\\BC = 41x\\CA = 40x$

The perimeter is:

$P = AB + BC + CA\\P = 450 = 9x + 41x + 40x\\90x = 450\\x = 5$

Now we find the length of the sides:

$AB = 45\\BC = 205\\CA = 200$

Once the length of the sides is known, we use Heron's formula to calculate the area.

First I find the semiperimeter S.

$S = 0.5(45 + 205 +200)\\S = 225$

Then the Area is:

$A = \sqrt{s(s-AB)(s-BC)(s-CA)}\\\\A = \sqrt{225(225-45)(225-205)(225-200)}\\\\A = 4500\ ft^2$

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4 years ago