Answer:
Its typically helpful to start with a drawing. Here is
A
B
C
D
as given by the problem.
Geogebra
Geogebra
We are looking for the length of the shorter diagonal, which is segment
B
D
. This segment forms a triangle with the two known sides. Since we know two sides and the angel connecting them, we can use the law of cosines to solve for the unknown segment.
http://mathworld.wolfram.com/LawofCosines.html
http://mathworld.wolfram.com/LawofCosines.html
The law of cosines tells us that
c
2
=
a
2
+
b
2
−
2
a
b
cos
(
C
)
for the triangle labeled above. If we choose our two known sides for
a
and
b
and our known angle for
C
, we can solve for the length of the diagonal,
c
.
c
2
=
14
2
+
8
2
−
2
(
14
)
(
8
)
cos
(
60
o
)
≈
12.17
Step-by-step explanation:
sorry about the last answer i thought i was on another question
Answer:
46
Step-by-step explanation:
Just add.
15
+26
-------
46
The slope is 5/4.
5²+4²=41
√41=6.4
EF=6.4 units.
G^9 is what I got. Hope this helps
Answer: Distance = √145
Concept:
Here, we need to know the concept of the distance formula.
The distance formula is the formula, which is used to find the distance between any two points.
If you are still confused, please refer to the attachment below for a clear version of the formula.
Solve:
<u>Given information</u>
(x₁, y₁) = (4, -9)
(x₂, y₂) = (5, 3)
<u>Given formula</u>
<u>Substitute values into the formula</u>
<u>Simplify values in the parentheses</u>
<u>Simplify exponents</u>
<u>Simplify by addition</u>
Hope this helps!! :)
Please let me know if you have any questions