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trasher [3.6K]
2 years ago
12

Solving right triangles geometry help please

Mathematics
1 answer:
Alex73 [517]2 years ago
3 0

Answer:

(13) The third side is 14 cm

(13) The third side is 16.1 cm

Step-by-step explanation:

Given

(13) & (14)

Required

Solve

(13): Let length AB = x.

Using Pythagoras theorem.

x^2 = 12^2 + 9^2

x^2 = 144 + 81

x^2 = 225

Take positive square root of both sides

x = \sqrt{225

x = 15

(14): Let length DE = x.

Using Pythagoras theorem.

x^2 = 8^2 + 14^2

x^2 = 64 + 196

x^2 = 260

Take positive square root of both sides

x = \sqrt{260

x = 16.1 ---approximated

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Answer:

<u><em>1.) 20.2</em></u>

Step-by-step explanation:

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2.) Part A:

You need to use the mid-point formula:

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(3,2)(7,11)\\\\(\frac{3+7}{2},\frac{2+11}{2})\\\\(\frac{10}{2},\frac{13}{2})\\\\m=(  5,6.5)

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1. Use the slope-intercept formula:

y=mx+b

M as the slope, b the y-intercept.

Find the slope of the two points A and B using the slope formula:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{rise}{run}

Insert slope as m into equation.

Take point A as coordinates (x,y) and insert into the equation. Solve for the intercept, b:

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Insert the value of b into the equation.

2.  Use the mid-point coordinate. Take the slope.

If you need to find the perpendicular bisector, you will take the negative reciprocal of the slope. Switch the sign and flip it. Ex:

\frac{1}{2} =-\frac{2}{1}=-2\\

Insert the new slope into the slope-intercept equation as m.

Take the mid-point coordinate as (x,y) and insert into the equation with the new points. Solve for b.

Insert the value of b.

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