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rjkz [21]
3 years ago
13

If AB= 12 and CB= 10, then the height of the triangle is

Mathematics
1 answer:
almond37 [142]3 years ago
5 0
We are asked to solve for the height of the triangle such that the AB measurement is 12 units and the CB measurement is 10 units. We will assume that the given triangle is a right triangle so that we can apply hypotenuse theorem c² = b² + a² where c = AB (the hypotenuse), where CB = b and AC is still unknown. 
AB² = CB² + AC²
12² = 10² + AC²
AC² = 12² - 10²
AC = 6.63

Therefore the height is 10 units and the base is 6.63 units and the hypotenuse is 12 units.  
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Answer:

We will take option B.

Step-by-step explanation:

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Michael buys a basket of mangoes on sale for $4 before tax. The sales tax is 12% What is the total price Michael pays for the ba
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What's x ? find the indicated side of the right triangle
expeople1 [14]

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{x = 6}

-------------------------------------------------------------------------------------------------------------

Given:  \textsf{The image provided with 2 angles and one side}

Find:  \textsf{Solve for the unknown side of x}

Solution:  In order to determine the length of x we need to use some trigonometric functions.  Using Soh Cah Toa we can see that we can either use 30 degrees or 60 degrees.  We will stick to 60 and we can see that the opposite side is 3 and the hypotenuse is x meaning that we need to use sin.  Plug in the values and solve for the unknown.

<u>Plug in the values</u>

  • \textsf{sin(30) = }\frac{\textsf{opposite}}{\textsf{hypotenuse}}
  • \textsf{sin(30) = }\frac{\textsf{3}}{\textsf{x}}

<u>Multiply both sides by x</u>

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<u>Divide both sides by sin(30)</u>

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<u>Simplify</u>

  • \textsf{x = 3}}*\frac{1}{\textsf{0.5}}
  • \textsf{x = 6}

Therefore, the value of the unknown variable x is 6 units.

4 0
1 year ago
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