Answer:
a = 21
b = 63
c = 42√3
d = 21√3
Step-by-step explanation:
The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. The given side (42) is the longest side of the smallest triangle, and the shortest side of the largest triangle.
That means the other sides of the smallest triangle will be ...
a = 42/2 = 21
a+b = 2(42) = 84
b = (a+b) -a = 84 -21 = 63
d = 21√3 . . . . middle-length side of the smallest triangle
c = 42√3 . . . . middle-length side of the largest triangle
The values of the variables are ...
- a = 21
- b = 63
- c = 42√3
- d = 21√3
Given:
A figure of a triangular prism.
Height of triangular base = yd
Base of triangular base = 4 yd
Height of prism = 4 yd.
To find:
The volume of the triangular prism.
Solution:
Volume of a triangular prism is:
...(i)
Where, B is the area of triangular base and h is the height of the prism.
Area of triangular base is:
Putting and h=4 in (i), we get
The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.
Answer:
Please refer to the attachment
Formula
1/2 (b×h)
plug in
1/2 (6×3)
1/2 (18)
9 ft squared.
always remember measurement of the shape, square your answer because your finding area and formulas. the numbers on the side are to distract you.
Answer:
Therefore a= 90°,b=54°, x=54°, y= 162°
Step-by-step explanation:
a=90°
a:b=5:3
5+3= 8
5/8 x A = 90
A is the sum of the angles of a and b divided in the ratio 5:3
5A/8 = 90
cross multiply
5A= 90 X8 = 720
5A=720
A= 720/5= 144°
b= 3/8 x 144 = 3x144/8 = 432/8 = 54
a= 90
b= 54
x:y is in the ratio of 1:3
the Sum of angles in a Quadrilateral is 360°
if the sum of a and b is 144°
then the reamining angles is 360-144= 216°
then x:y=1:3
1+3=4
x= 1/4 x 216= 54°
y= 3/4 x 216= 162°
Therefore a= 90°,b=54°, x=54°, y= 162°
we can see that b = x = 54°