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- anonymous

Find one area of each triangle. Round intermediate values of the nearest tenth. Ust the rounded values to calcuate the next value. Round your final answer to the nearest tenth. Please help and show work! Drawing Below -->!

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- anonymous

- katieb

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- anonymous

|dw:1337035285613:dw|

- AccessDenied

So, what is the formula for area of a triangle?

- anonymous

a2 +b2= c2 and a= 1/2 bh.

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- AccessDenied

ok, so we have the height. We want to find the base length to plug into the area formula
Of course, you went a step ahead and gave the next formula as well. We would have to use Pythagorean Theorem to determine the length of the base.
a^2 + b^2 = c^2

- anonymous

So would it be a2 +8^2 =7^2

- AccessDenied

In a^2 + b^2 = c^2, the a^2 and b^2 represent the squared lengths of the legs of the triangle. The c^2 represents the hypotenuse length squared.
|dw:1337037273817:dw|

- AccessDenied

So you'd have 7^2 + b^2 = 8^2. We'd solve for b there.

- anonymous

Ok so it would be 7^2 + b^2 = 8^2?

- AccessDenied

Yeah. :)

- AccessDenied

Once we find b there, we round it to the nearest tenth and then apply it in the area formula with the height 7 and that as the base.

- anonymous

So what would the total answer be for the a2 + b2 = c2?

- AccessDenied

7^2 + b^2 = 8^2
49 + b^2 = 64
b^2 = 15
b = sqrt{15} then you can evaluate this in calculator to round it to nearest tenth

- anonymous

I typed it in and squared rooted it and I still got 15

- AccessDenied

Hm
maybe it was typed in wrong.
I get sqrt(15) ~ 3.87298

- anonymous

So would the round to 4?

- AccessDenied

we round it to nearest tenth, so we look at the 3.87 and determine whether to keep 3.8 or go to 3.9

- anonymous

We would keep it at 3.9?

- AccessDenied

Yes, we use 3.9.
So, just plug it into area formula \(A = \frac{1}{2} b h \) with b = 3.9 and h = 7 and solve for A.
It looks like you have to round the value of A to nearest tenth also.

- AccessDenied

So, what I get is
A = 1/2 (3.9) (7)
= 13.65
= 13.7 rounded up to nearest tenth.

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