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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Answers
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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Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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10 of clubs in a deck = 1
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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------------------------------------------------------------
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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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Jorge has a swimming pool that is rectangular in shape. The length and width of the pool are 24 feet and 14 feet. He also knows that the pool has a consistent depth of 5 feet. He needs to add 4 drops of chlorine for every 50 cubic feet in his pool. How many drops of chlorine should Jorge use to chlorinate his pool properly?
Answers
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140 drops
Step-by-step explanation:
Length of the pool = 24 feet
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Number of 50 cubic feet in the volume of the pool = Volume of the pool / 50 ft³
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Answers
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70°
Step-by-step explanation:
In the context it says that Franklin St. is parallel to Washington St.
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If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
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