Using the Law of Sines (sinA/a=sinB/b=sinC/c) and the fact that all triangles have a sum of 180° for their angles.
The third angle is C is 180-53-17=110°
27/sin53=b/sin17=c/sin110
b=27sin17/sin53, c=27sin110/sin53
And the perimeter is a+b+c so
p=27+27sin17/sin53+27sin110/sin53 units
p≈68.65 units (to nearest hundredth of a unit)
Answer:
7a + 2b
Step-by-step explanation:
Given
4a + 3b + 3a - b ← collect like terms
4a + 3a + 3b - b
= 7a + 2b
...
Using the Pythagorean theorem, a² + b² = c², we can solve for 'c'.
We know the length of sides 'a' and 'b', and this is all we really need to know. The angle value of angle 'c' is irrelevant to finding the length of side 'c' (which I'm assuming is the hypotenuse).
18² + 24² = c².
324 + 576 = c².
900 = c². Now find the square root of 900 to get the value of 'c'.
30 = c. <= And there is your answer.
Answer:
For the given expression, x = 12.
Step-by-step explanation:
Here, in the given expression:
6 over x equals 4 over 8.
Now, 6 over x = 
and 4 over 8 = 
So, here 
⇒ x = 12
Hence, for the given expression, x = 12.
Answer:
c=sqrt21
Step-by-step explanation:
angle c is the angle between a and b, so use the cos law
c^2=a^2+b^2-2*a*b*cosC
c^2= 16+25-2*4*5*1/2
c^2=21
c=sqrt21
