Answer:
A. The length of the third side is approximately 5 feet.
B. A =
, B =
and C =
.
Step-by-step explanation:
Let the triangle be ABC. Given two sides and an included angle, let us apply the cosine rule to determine the third length.
A. Let side a = 6 feet and c = 3 feet, thus;
=
+
- 2ac Cos B
=
+
- 2(6 x 3) Cos 
= 36 + 9 - 36 x 0.5
= 45 - 18
= 27
b = 
= 5.1962
b = 5.2 feet
b ≅ 5 feet
The length of the third side is approximately 5 feet.
B. Given that B =
, then let us apply the Sine rule to determined the measure of A.
=
So that,
= 
Sin A = 
Sin A = 0.99923
A =
0.99923
= 87.75
A ≅ 
Since the sum of angle in a triangle =
.
Then,
A + B + C = 
+
+ C = 
+ C = 
C =
- 
= 
C = 
Thus,
A =
, B =
and C =
.
Combine like terms.
1w - 0.25w = 0.75w
Hope this helps!
Answer:
a = 14
Step-by-step explanation:
3a = a + 28 ➡ 2a = 28 ➡ a = 14
Is a problem solving method that uses that fact that any number or expression can be multiplied by one without changing it's value.
Answer:
The value of BK is 3m and the value of CK is 2.4m.
Step-by-step explanation:
Given information: ABCD trapezoid
, BC=1.2m, AD=1.8m
, AB=1.5m, CD=1.2m
, AB∩CD=K.
Using the given information draw a figure.
Two sides of a trapezoid are parallel.
Since AB∩CD=K, therefore AB and CD are not parallel, because parallel line never intersect.

(Corresponding angles)
(Corresponding angles)
By AA rule of similarity

Corresponding sides of similar triangles are proportional.






The length of BK is 3 m.




The length of CK is 2.4 m.