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Nikitich [7]
2 years ago
9

Given right triangle ABC with altitude BD is drawn to hypotenuse AC. If AB=5 and AD=1, what is the length of AC ? (Note: the fig

ure is not drawn to scale.)

Mathematics
1 answer:
Alex17521 [72]2 years ago
8 0

Answer:

x = 24.99 or 25

Step-by-step explanation:

<em>Using sin to figure out the angle of ABD, we can figure out the angle of CBD by subtracting it from 90°.</em>

sin y = (1/5)

y = 11.54°

90 - 11.54 = 78.46°

<em>Now using Pythagorean Theorem (</em><em>a²+b²=c²</em><em>) we can solve for line BD.</em>

1² + b² = 5²

1 + b² = 25

b² = 24

b = √24

<em>Now we can use tan to figure out the length of segment DC.</em>

tan(78.46) = z/√24

z = 23.99

<em>We can now combine the known length of segment AD and the length of DC to get </em><em>x</em><em>.</em>

1 + 23.99 = 24.99 or <u>about</u> 25.

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Consider the line shown on the graph. Enter the
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<h2>Solution -</h2>

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<h3>So, Equation of line is given by</h3>

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<h3>y = x + 3</h3>

<h3>Alternative Method :-</h3>

We know, Equation of line passing through the points (a,b) and (c, d) is given by

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<h3>Here,</h3>

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<h3>So, on substituting these values in above result, we get :-</h3>

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<h3>Different forms of equations of a straight line :-</h3>

1. Equations of horizontal and vertical lines

Equation of line parallel to x - axis passes through the point (a, b) is y = b.

Equation of line parallel to y - axis passes through the point (a, b) is x = a.

<h3>2. Point-slope form equation of line</h3>

Equation of line passing through the point (a, b) having slope m isy - b = m(x - a)

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Equation of line which makes an intercept of c units on y axis and having slope m is y = mx + c.

<h3>4. Intercept Form of Line</h3>

Equation of line which makes an intercept of a and b units on x - axis and y axis respectively is x/a + y/b = 1.

<h3>5. Normal form of Line</h3>

Equation of line which is at a distance of p units from the origin and perpendicular makes an angle B with the positive X-axis is x cosB + y sinB = p.

<h2 />

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Answer:

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4 0
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