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frutty [35]
2 years ago
11

Find the missing side and angles.

Mathematics
1 answer:
sweet [91]2 years ago
5 0

Answer:

Step-by-step explanation:

This is an equilateral triangle.

The altitude bisects the 60 degree angle, so a=30

b=60 since its an interior angle of the isosceles triangle.

e = 4 since the two triangles formed by the altitude are congruent.

c = 8 since the side length is 4 + 4 = .

f = 4sqrt3 by the properties of 30 60 90 triangles.

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Nataliya [291]

Answer:

Step-by-step explanation:

From the given information, the symmetric equations for the line pass through(4, -5, 2) i.e (x_o, y_o, z_o) and are parallel to \dfrac{x+5}{1} = \dfrac{y}{2}= \dfrac{z-3}{1}

The parallel vector to the line i + zj+k = ai + bj + ck

Hence, the equation for the line is :

x = x_o + at \\ \\ x = y_o + bt \\ \\ x = z_o + ct

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z = 2 + t

Thus, x, y, z = ( 4+t, -5+2t, 2+t )

The symmetric equation can now be as follows:

\begin  {vmatrix} x = 4+ t   \\ \\  \dfrac{x-4}{1} = t  \begin {vmatirx} \end {vmatrix}\begin {vmatrix} y = - 5+2t  \\ \\ \dfrac{y+5}{2}  =t      \end {vmatrix}\begin {vmatrix} z =2+t  \\ \\ \dfrac{z-2}{1}  =t      \end {vmatrix}

∴

\dfrac{x-4}{1}= \dfrac{y+5}{2}=\dfrac{z-2}{1}

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Solve the following system of equations by elimination​
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Answer:

y = -6

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