The area of the triangle ABC is 207.5 square units.
Explanation:
The measurements of the sides of the triangle are
,
and ![m\angle A=65^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%20A%3D65%5E%7B%5Ccirc%7D)
We need to determine the area of the triangle ABC.
<u>Area of the triangle:</u>
The area of the triangle can be determined using the formula,
![{Area}=\frac{1}{2} b c \sin A](https://tex.z-dn.net/?f=%7BArea%7D%3D%5Cfrac%7B1%7D%7B2%7D%20b%20c%20%5Csin%20A)
where
,
and ![m\angle A=65^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%20A%3D65%5E%7B%5Ccirc%7D)
Substituting these values in the above formula, we get,
![{Area}=\frac{1}{2}(19)(24) \sin 65^{\circ}](https://tex.z-dn.net/?f=%7BArea%7D%3D%5Cfrac%7B1%7D%7B2%7D%2819%29%2824%29%20%20%5Csin%2065%5E%7B%5Ccirc%7D)
Simplifying the values, we get,
![{Area}=\frac{1}{2}(456) (0.91)](https://tex.z-dn.net/?f=%7BArea%7D%3D%5Cfrac%7B1%7D%7B2%7D%28456%29%20%280.91%29)
![{Area}=\frac{1}{2}(414.96)](https://tex.z-dn.net/?f=%7BArea%7D%3D%5Cfrac%7B1%7D%7B2%7D%28414.96%29)
![{Area}=207.48](https://tex.z-dn.net/?f=%7BArea%7D%3D207.48)
Rounding off to the nearest tenth, we get,
Thus, the area of the triangle ABC is 207.5 square units.
Answer:
Hey love! x = 6
Step-by-step explanation:
because 13 x 6 = 78
HOPE THIS HELPS!
Answer: 41 1/4
Step-by-step explanation: 160/4=40
5/4= 1 1/4
LIKE IF CORRECT
Answer:
See below ~
Step-by-step explanation:
![\textsf {Each of the steps has been reasoned below :}](https://tex.z-dn.net/?f=%5Ctextsf%20%7BEach%20of%20the%20steps%20has%20been%20reasoned%20below%20%3A%7D)
![\implies \textsf {3x - 2 = 4 (Given)}](https://tex.z-dn.net/?f=%5Cimplies%20%5Ctextsf%20%7B3x%20-%202%20%3D%204%20%28Given%29%7D)
![\implies \textsf {3x = 6 (Addition Property of Equality)}](https://tex.z-dn.net/?f=%5Cimplies%20%5Ctextsf%20%7B3x%20%3D%206%20%28Addition%20Property%20of%20Equality%29%7D)
![\implies \textsf {x = 2 (Division Property of Equality)}](https://tex.z-dn.net/?f=%5Cimplies%20%5Ctextsf%20%7Bx%20%20%3D%202%20%28Division%20Property%20of%20Equality%29%7D)
![\textsf {In the second step, the property has been applied}\\\textsf {by adding 2 to each side of the equation.}](https://tex.z-dn.net/?f=%5Ctextsf%20%7BIn%20the%20second%20step%2C%20the%20property%20has%20been%20applied%7D%5C%5C%5Ctextsf%20%7Bby%20adding%202%20to%20each%20side%20of%20the%20equation.%7D)
![\textsf {In the third step, the property has been applied by dividing 3 on each side.}](https://tex.z-dn.net/?f=%5Ctextsf%20%7BIn%20the%20third%20step%2C%20the%20property%20has%20been%20applied%20by%20dividing%203%20on%20each%20side.%7D)