How do I know the outliner of numbers???
2 answers:
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Pls. see attachment.
We need to solve for the angles of the smaller triangle in order to solve for the angle of the larger triangle which would help us solve the missing measurement of a side.
Given:
51 degrees.
Cut the triangle into two equal sides and it forms a right triangle. All interior angles of a triangle sums up to 180 degrees.
180 – 51 – 90 = 39 degrees
39 degrees * 2 = 78 degrees.
Angle Q is 78 degrees.
In the bigger triangle, 4.3 is the hypotenuse. We need to solve for the measurement of the long leg which is the opposite of the 78 degree angle.
We will use the formula:
Sine theta = opposite / hypotenuse
Sin(78 deg) = opposite / 4.3
Sin(78 deg) * 4.3 = opposite
4.21 = opposite. This is also the height of the triangle.
Area of a triangle = ½ * base * height
A = ½ * 3units * 4.21units
A = 6.315 square units.
Answer:
For right angle triangle,
we use Pythagoras theorem that is:
c =
For question 1:
c = ?
a = 40
b = 9
putting them in formula,
c =
c = 41
For question 2:
c = ?
a = 12
b = 13
putting them in formula,
c =
c = approximately 17.69181
For question 3:
c = 35
a = 20
b = ?
putting them in formula,
1225 = 400 +
= 1225 - 400
= 825
b = 5
For question 4:
c = 37
a = 20
b = ?
putting them in formula,
1369 = 400 +
= 1369 - 400
= 969
Taking square root on both sides
b = 31.12
Hope it helps.