Answer: ![\bold{10 = \sqrt {\left( {x- 8 } \right)^2 + \left( {y - 9 } \right)^2 }}](https://tex.z-dn.net/?f=%5Cbold%7B10%20%3D%20%5Csqrt%20%7B%5Cleft%28%20%7Bx-%208%20%7D%20%5Cright%29%5E2%20%2B%20%5Cleft%28%20%7By%20-%209%20%7D%20%5Cright%29%5E2%20%7D%7D)
Step-by-step explanation:
<u>Given:</u>
The coordinates of Point A: (8, 9)
The coordinates of Point B are unknown: (x, y)
The distance from A to B is 10 units
Then, using the distance formula:
![AB = \sqrt {\left( {x- 8 } \right)^2 + \left( {y - 9 } \right)^2 }](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%20%7B%5Cleft%28%20%7Bx-%208%20%7D%20%5Cright%29%5E2%20%2B%20%5Cleft%28%20%7By%20-%209%20%7D%20%5Cright%29%5E2%20%7D)
Therefore,
![10 = \sqrt {\left( {x- 8 } \right)^2 + \left( {y - 9 } \right)^2 }](https://tex.z-dn.net/?f=10%20%3D%20%5Csqrt%20%7B%5Cleft%28%20%7Bx-%208%20%7D%20%5Cright%29%5E2%20%2B%20%5Cleft%28%20%7By%20-%209%20%7D%20%5Cright%29%5E2%20%7D)
Answer:Area = 492.4 m²
Explanation:The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between these two sides)
This rule is illustrated in the attached image.
Now, we have:
AB = 40 m
BC = 25 m
angle B which is the angle included between AB and BC = 80 degrees
The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
Area of triangle = 0.5*40*25*sin(80)
Area of triangle = 492.4 m²
Hope this helps :)
It increased just subtract it that u will he’s y answer
I think you meant to add more to your question (posting the specific problem).
In general, one special right triangle is the <span>45°-45°-90° triangle, in which both legs are congruent and the hypotenuse = √2 * the length of the leg. if you happen to not have the length of the leg, the formula for finding the leg is: leg = hypotenuse / √2
Another special right triangle is the </span><span>30°-60°-90° triangle. With this kind of triangle the length of the hypotenuse is twice the length of the shorter leg. The length of the longer leg is √3 times the length of the shorter leg.
hypotenuse = 2 * shorter leg
longer leg = √3 * shorter leg</span>