find the area of the triangle
Please help
need the correct answer
Urgent
Please do not answer from links
will give the brainliest!
Answers
Answer:
[tex] \rm \displaystyle A_{ \text{triangle}} = \frac{147 \sqrt{7} }{2 } \quad \text{or} \quad 73.5 \sqrt{7} [/tex]
Step-by-step explanation:
we have a right angle triangle composited in a semi-circle we want to figure out the area of the triangle
in order to do so we need to figure out the adjacent side (height AB)
since the given triangle is a right angle triangle we can consider Pythagoras theorem given by
[tex] \displaystyle {a}^{2} + {b}^{2} = {c}^{2} [/tex]
given that,a=21 and c=28
substitute:
[tex] \displaystyle {21}^{2} + {b}^{2} = {28}^{2} [/tex]
move left hand side expression to right hand side and change its sign:
[tex] \displaystyle {b}^{2} = {28}^{2} - {21}^{2} [/tex]
square root both sides:
[tex] \displaystyle {b}^{} = \sqrt{{28}^{2} - {21}^{2} }[/tex]
use algebraic indentity:
[tex] \rm \displaystyle {b}^{} = \sqrt{({28}^{} + 21) (28 - {21}^{})}[/tex]
simplify:
[tex] \rm \displaystyle {b}^{} = \sqrt{({49}) ( 7)}[/tex]
use redical property:
[tex] \rm \displaystyle {b}^{} = 7 \sqrt{ 7}[/tex]
now to figure out the area we can consider the following formula:
[tex] \displaystyle A_{ \text{triangle}} = \frac{1}{2} bh[/tex]
remember that,h=AB=7√7 and b=BC=21 thus substitute:
[tex] \displaystyle A_{ \text{triangle}} = \frac{1}{2} \times 21 \times 7 \sqrt{7} [/tex]
simplify multiplication:
[tex] \rm \displaystyle A_{ \text{triangle}} = \frac{147 \sqrt{7} }{2 } \quad \text{or} \quad 73.5 \sqrt{7} [/tex]
hence,
the area of the triangle is 194 (approximately)
note: you can also use horon's formula but I like to keep things simple
Please find attached photograph for your answer.
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Answer:
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Step-by-step explanation:
3*12 = 36
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Answer:
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Step-by-step explanation:
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Answers
Answer:
200*34=6800
Step-by-step explanation:
Write the possible combinations like
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Step-by-step explanation:
Here we want the side length of x, which is adjacent to the angle 31 degrees. Cosine is the ratio we want because it is adj/hypotenuse.
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Step-by-step explanation:
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Answers
Answer:
x= -1, y=1
Step-by-step explanation:
First label the 2 equations.
7x +6y= -1 -----(1)
-x +2y= 3 -----(2)
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(2) ×3:
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------------------------------------------------------------
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-x +2= 3
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-x= 1
x= -1
Please Help ASAP
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Answers
Answer:
140 drops
Step-by-step explanation:
Length of the pool = 24 feet
Width of the pool = 14 feet
Depth of the pool = 5 feet
Volume of the pool = length × width × depth
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Volume of the pool = 1,750 ft³
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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---------------
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Hope I'm right have a great day!
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Answers
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Step-by-step explanation:
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Answers
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Answers
Answer:
∠C=39°
Step-by-step explanation:
The interior angles of a triangle will always have a sum of 180°.
∠A+∠B+∠C=180°
78°+63°+∠C=180°
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Answer:
39 degrees
Step-by-step explanation:
All triangles will add up to 180 degrees. So, you know that angle C added with angles A and B will equal 180. if you take 180, minus 78, minus 63, you get the answer 39.