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2 years ago

The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 4 inches?

Mathematics

2 answers:

marissa [1.9K]2 years ago

6 0

The answer to this problem is C: 12

iris [78.8K]2 years ago

5 0

Answer:

the answer is c. 12 inches because first of all you mutliply each option by 4 and then divide by 2 to see if you get 24 and when you do that you get an answer of 12 so 12 is the correct answer and give brainliest to the first people that answer it first than me.

Step-by-step explanation:

6 times 4= 24/2=12

8 times 4= 32/2=16

12 times 4= 48/2=24

20 times 4= 80/2=40

so c is the correct answer and have a great day.

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Using the following triangle, write a proof to verify that sinA/a=sinC/c

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Answer:

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Step-by-step explanation:

Given: A triangle

To prove: $\frac{\sin A}{a}=\frac{\sin C}{c}$

Solution:

Trigonometry is a branch of mathematics that explains relationship between sides and angles of the triangle.

Sine of angle = side opposite to the angle / hypotenuse

In ΔADB,

$\sin A=\frac{BD}{AB}=\frac{h}{c}\\\Rightarrow h=c\sin A\,\,\,(i)$

In ΔBDC,

$\sin C=\frac{BD}{BC}=\frac{h}{a}\\\Rightarrow h=a\sin C\,\,\,(ii)$

From equations (i) and (ii),

$c\sin A=a\sin C\\\frac{\sin A}{a}=\frac{\sin C}{c}$

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