Math Need to find volume Fractions
1 answer:
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Case 1: The length of the third side (hypotenuse) is <u>5</u>m.
My Reasoning/Work:
We use the Pythagorean theorem (a^2+b^2=c^2), the two legs in the Pythagorean theorem are "a" and "b" and the third leg/the hypotenuse, is "c".
Then, we find the squares of 3 and 4, and then add them up.
Now that we know that the square of the third side is 25m, we now find the square root of 25.
The hypotenuse is 5m.
Case 2: The length of the third side (the leg) is <u>
</u>m.
My Reasoning/Work:
Again, we'll use the Pythagorean theorem.
This time, instead of using the "b", we're using the "a" (leg) and the "c" (hypotenuse). Because the hypotenuse is the longest side in a right triangle, we get that "c" is equal to 4m.
And now we bring down the exponents.
We now subtract 9 from both sides to leave the "b^2" alone.
Finally, we find the square root of 7 to get the answer. But if you use a calculator to find this, you'll get an annoying answer of decimals (2.645751311064591). So, to simplify this, the answer would be
.<u />
My Reasoning/Work:
We use the Pythagorean theorem (a^2+b^2=c^2), the two legs in the Pythagorean theorem are "a" and "b" and the third leg/the hypotenuse, is "c".
Then, we find the squares of 3 and 4, and then add them up.
Now that we know that the square of the third side is 25m, we now find the square root of 25.
The hypotenuse is 5m.
Case 2: The length of the third side (the leg) is <u>
My Reasoning/Work:
Again, we'll use the Pythagorean theorem.
This time, instead of using the "b", we're using the "a" (leg) and the "c" (hypotenuse). Because the hypotenuse is the longest side in a right triangle, we get that "c" is equal to 4m.
And now we bring down the exponents.
We now subtract 9 from both sides to leave the "b^2" alone.
Finally, we find the square root of 7 to get the answer. But if you use a calculator to find this, you'll get an annoying answer of decimals (2.645751311064591). So, to simplify this, the answer would be
The picture in the attached figure
we know that
m∠A+m∠B+m∠C=180°-----> by the sum of the internal angles of the triangle is 180 degrees
m∠A=25°
for m∠B=51°
find ∠C
∠C=180-[25+51]---------> m∠C=104°
for m∠B greater than 51°-------> m∠C must be less than 104°
for m∠B=57°
find m∠C
m∠C=180-[25+57]---------> m∠C=98°
for m∠B less than 57°-------> m∠C must be greater than 98°
therefore
98° < m∠C < 104°
we know that
m∠A+m∠B+m∠C=180°-----> by the sum of the internal angles of the triangle is 180 degrees
m∠A=25°
for m∠B=51°
find ∠C
∠C=180-[25+51]---------> m∠C=104°
for m∠B greater than 51°-------> m∠C must be less than 104°
for m∠B=57°
find m∠C
m∠C=180-[25+57]---------> m∠C=98°
for m∠B less than 57°-------> m∠C must be greater than 98°
therefore
98° < m∠C < 104°