Answer:72.6
Step-by-step explanation:
1 to 4
Step-by-step explanation:
The two sides marked 7 are congruent.
Sides AC and AD are congruent.
Sides BC and ED are congruent.
By SSS, the triangles are congruent.
Also, angles BAC and EAD are congruent, so by SAS, the triangles are congruent.
Answer: A. yes, by either SSS or SAS
1 pint = 16 fluid ounces.
Multiply number of pints by 16 to find total ounces:
8 x 16 = 128 fluid ounces.
<u>Given</u>:
Given that the triangle.
Let the length of the side a be 10 cm.
Let the length of the side b be 13 cm.
Let the measure of ∠C is 105°
We need to determine the area of the triangle.
<u>Area of the triangle:</u>
The area of the triangle can be determined using the formula,
![A=\frac{1}{2} a b \ sin \ c](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%20a%20b%20%5C%20sin%20%5C%20c)
Substituting a = 10, b = 13 and ∠C = 105°, we get;
![A=\frac{1}{2}(10)(13) \ sin \ 105](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%2810%29%2813%29%20%5C%20sin%20%5C%20105)
Simplifying, we get;
![A=\frac{1}{2}(10)(13)(0.966)](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%2810%29%2813%29%280.966%29)
![A=\frac{1}{2}(125.58)](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%28125.58%29)
![A=62.79 \ cm^2](https://tex.z-dn.net/?f=A%3D62.79%20%5C%20cm%5E2)
Rounding off to 1 decimal place, we have;
![A=62.8 \ cm^2](https://tex.z-dn.net/?f=A%3D62.8%20%5C%20cm%5E2)
Thus, the area of the triangle is 62.8 cm²