Answer:
a.
cm or 7.21cm
b.
cm or 13.04cm
c. x= 
cm or 11.66cm, y=
cm or 13.82cm
Step-by-step explanation:
a. You have to find the length of the other two sides of the triangle using the information already given. The first side is 6cm and the other is 12-9=4cm. Because it's a right-angled triangle you can use pythagoras
b. You can use pythagoras again because it's a right-angle triangle
c. In this question you have to find x and y. We need to find x first using pythagoras
Now that we've found x we can find y using pythagoras but instead of find c, we will find another side
Hope this helps :)
Answer:
<8 and <6 are congruent to each other.
Step-by-step explanation:
A protractor was used to determine the answer. They both measured to 140 degrees.
Pretty sure the answer is B.
Answer:
1/3
Step-by-step explanation:
perpendicular lines have slopes that are opposite reciprocals
Answer:
a) a = 7.37, b = 15.13, C = 67°
b) 1 triangle
Step-by-step explanation:
<h3>a)</h3>
Two angles and one side are given. That means the triangle is uniquely determined, and the remaining sides can be found from the Law of Sines.
The third angle is ...
C = 180° -A -B = 180° -29° -84° = 67°
Then the Law of Sines tells you ...
a/sin(A) = b/sin(B) = c/sin(C)
a = sin(A)/sin(C)·c = sin(29°)/sin(67°)·14 ≈ 7.37
b = sin(B)/sin(C)·c = sin(84°)/sin(67°)·14 ≈ 15.13
__
<h3>b)</h3>
Ordinarily, when the given angle (B = 30°) is opposite the shorter of the given sides (b = 10 < a = 20), it means there are two possible solutions to the triangle.
However, when the sine of the angle is exactly equal to the ratio of the given sides: sin(30°) = 10/20 = 1/2, the larger angle can only be 90°. That is, the one triangle that can be formed is a right triangle.
The Law of Sines tells you this.
sin(A)/a = sin(B)/b
sin(A) = (a/b)sin(B) . . . . . . multiply by 'a'
A = arcsin(a/b·sin(B)) = arcsin(20/10·sin(π/6)) = arcsin(1)
A = 90°
