Answer:
the answers are all bold below
Step-by-step explanation:
Triangle ABC is an equilateral triangle with side lengths labeled a, b, and c.
Triangle A B C is an equilateral triangle. The length of side A B is c, the length of B C is a, and the length of A C is b.
Trigonometric area formula: Area = One-half a b sine (C)
Which expressions represent the area of triangle ABC? Select three options.
a c sine (60 degrees)
One-half b c sine (60 degrees)
One-half a squared sine (60 degrees)
StartFraction a squared b sine (60 degrees) Over 2 EndFraction
StartFraction a b sine (60 degrees) Over 2 EndFraction
Answer: G. 12.5, 7.5, 10
Step-by-step explanation:
To determine the lengths of metal that could be used to form the tight angle triangle, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
The hypotenuse is the longest side while the opposite and adjacent sides are the shorter side. Therefore,
F.
8² = 4² + 4²
64 = 16 + 16 = 32
A right angle triangle cannot be formed because they are not equal.
G.
12.5² = 7.5² + 10²
156.25 = 56.25 + 100 = 156.25
A right angle triangle can be formed because they are equal.
H.
23² = 11² + 9²
529 = 121 + 81 = 202
A right angle triangle cannot be formed because they are not equal.
J.
96² = 12.5² + 6²
9216 = 156.25 + 36 = 192.25
A right angle triangle cannot be formed because they are not equal.
Answer:
C + 52 ≥ 78
Step-by-step explanation:
Since Sam needs at least 78 credits to a college degree, the inequality is represented by a more than or equal to symbol (≥).
Area of a triangle is equal to 1/2 b(h) so since you already have the height and base, all you need to do is input it back into the equation:
![\frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20)
(10)(13)
Multiply 10 & 13 to equal
![\frac{1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20)
(130)
Then take half of 130 to get
A = 65