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 = .
Answer:
See explanation
Step-by-step explanation:
Consider two triangles ABF and EDF. These triangles are two right triangles, because angles B and D are right anges.
In these triangles,
- ∠ABF ≅ ∠EDF - as two right angles;
- BF ≅ FE - given;
- ∠AFB ≅ ∠EFD - as vertical angles when two lines AD and BE itersect.
By ASA postulate (or HA postulate) these triangles are congruent, so
ΔABF ≅ ΔEDF
Congruent triangles have congruent corresponding parts, so
FA ≅ EF
I uploaded the answer here is the link : jim hb/
Answer:
22900
Step-by-step explanation:
multiply 350 by 6 and get 2100
subtract 2100 from 25k and get 22900
