In an isosceles triangle the length of the legs is 8 cm and the angle between them is 150°. Find the altitude to the legs and the area of the triangle.
Find AH and Aᴬᴮᶜ
Answers
Answer:
AH = 4 units
Area of ΔABC = 16 square units
Step-by-step explanation:
Since ΔABC is an isosceles triangle,
AC = BC
∠CAB ≅ ∠ABC [Opposite angles of the equal sides in a triangle are equal]
In ΔABC,
m∠CAB + m∠ABC + m∠ACB = 180°
m∠ABC + m∠ABC + 150° = 180°
2m∠ABC = 30°
m∠ABC = 15°
Now we apply cosine rule in ΔABC,
AB² = AC² + BC² - 2(AB)(BC)cos(m∠ACB)
AB² = 8² + 8² - 2(8)(8)cos(150°)
AB² = 128 + 110.85
AB = [tex]\sqrt{238.85}[/tex]
AB = 15.45
In ΔABH,
sin(m∠ABH) = [tex]\frac{AH}{AB}[/tex]
sin(15°) = [tex]\frac{AH}{15.45}[/tex]
AH = 15.45sin(15°)
AH = 3.998
AH ≈ 4.0 units
HC = [tex]\sqrt{8^{2}-4^2}[/tex]
= [tex]\sqrt{48}[/tex]
= 6.93
Area of the triangle ABC = [tex]\frac{1}{2}(BC)(AH)[/tex]
= [tex]\frac{1}{2}(8)(4)[/tex]
= 16 square units
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To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. There you go!
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Answer:
True
Step-by-step explanation:
We want to identify whether the statement that domain of the product functions affects time. You, Becks, consists of all the numbers that are either in the tomato f or in the is correct or not. So, actually, this one is not correct. So we can analyze this in this way. So the product function a makes sense only after effects. And you it means that the domain of the function just consists of on the real numbers that are either not either that our posts in events endeavor. But we can't give a counter example which X equals two. We're back and you're that equals two square. The effort that time is equal to hey, Rita finds the spirit of so consider the case. X equals to one so x equals to one is in the domain of effort. However, the squared of negative one doesn't make any sense. So we still cannot compute the product function every time. So it's not okay to just that acts to be either in the debate over or in the demand, ex have to be imposed the domain of Kiev and effort.
Graph y=3/4+4 Please! I need help!
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First on the Y AXIS go up to #4 then go up 3 more and right 4 and keep repeating till u can’t put any kore points on the graph
idk how to do this..............
Answers
BEC : Equilateral Triangle
DEF : Equilateral Triangle
CDF : Acute Triangle
Hopefully this help! sorry if i’m incorrect :)
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congruent?
HL Congruence Theorem
SAS Congruence Postulate
ASA Congruence Postulate
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Answer:
ASA
Step-by-step explanation:
Took the test.
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Step-by-step explanation:
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Step-by-step explanation:
0.5 mi = 2, 640 ft
O True
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Answer:True
Step-by-step explanation:
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Find the surface area of a triangular prism that has a height of 11 meters and the following triangular base. All
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13.5
4
surface area =
m?
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Answer:
3 is your answer took the test
Step-by-step explanation:
Answer:
S A = 146 m^2
Step-by-step explanation:
Find the unknown value in the proportion.
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Answers
Answer:
8
Step-by-step explanation:
4/7 = ?/14
Multiply the numerator and denominator of the left fraction by 2.
8/14 = ?/14
That means that ? = 8
Answer: 8
Answer:
8
Step-by-step explanation:
Step 1:
4/7 = x/14 Proportion
Step 2:
7x = 56 Multiply
Step 3:
x = 56 ÷ 7 Divide
Answer:
x = 8
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Which of the following functions is depicted?
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Answer:
D
Step-by-step explanation:
if x=-3 is the only x-incercept of the graph of a quadratic equation which statement best describes the discrinant of the equation
Answers
Answer:
The discriminant must be zero.
Step-by-step explanation:
Quadratic Equation
The standard representation of a quadratic function is:
[tex]f(x)=ax^2+bx+c[/tex]
where a,b, and c are constants.
The zeros, roots, or x-intercepts can be found by solving the equation:
[tex]ax^2+bx+c=0[/tex]
We can use the quadratic formula to find the roots:
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Answers
Answer:
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A veterinarian records whether he xlient owns a cat, a dog, neither , or both. If the client owns a dog whatis the probability the client owns a cat
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Answer:
hola
Step-by-step explanation:
xddd
The probability that the client owns a cat is 16/35 if a veterinarian records whether the client owns a cat, a dog, neither, or both option (A) is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
The veterinarian records whether the client owns a cat, a dog, neither, or both.
From the table:
Client owns a dog = 35
Owns a cat = 16
Probability that client owns a cat = 16/35
Thus, the probability that the client owns a cat is 16/35 if a veterinarian records whether the client owns a cat, a dog, neither, or both option (A) is correct.
Learn more about the probability here:
brainly.com/question/11234923
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Answers
9514 1404 393
Answer:
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Step-by-step explanation:
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Super Glad I Could Help Today!
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Step-by-step explanation:
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