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3 years ago

How many different triangles can be constructed with side measurement 6 cm 9 cm and 13 cm

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

4 0

Answer:

A. Exactly one triangle

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Write the equation of the perpendicular bisector of . Point B is located at (–3, 1), and point C is located at (1, 5).

maxonik [38]

The equation of perpendicular bisector of BC is

$y=-x+2$

Further explanation:

A perpendicular bisector passes through the mid-point of a line so to get an ordered pair from which the perpendicular bisector will pass we need to find the mid-point of BC.

$Mid-point = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )\\Here\\(x_1,y_1) = (-3,1)\\(x_2,y_2) = (1,5)\\Putting\ values\ in\ formula\\M = (\frac{-3+1}{2} , \frac{1+5}{2} )\\= (\frac{-2}{2} ,\frac{6}{2})\\= (-1, 3)$

So the perpendicular bisector will pass through (-1,3)

Let m1 be the slope of BC

Then

$m_1 = \frac{y_2-y_1}{x_2-x_1} \\=\frac{5-1}{1+3} \\=\frac{4}{4}\\ =1$

Let m2 be the slope of perpendicular bisector

We know that the product of slopes of perpendicular lines is -1.

$m_1.m_2 = -1\\1*m_2 = -1\\m_2 = -1$

The standard form of point-slope form of line is:

$y=mx+b$

Putting the value of slope of bisector we get

$y=(-1)(x)+b\\y=-x+b$

To find the value of b, put the ordered pair (-1,3) in the equation

$3 = -(-1) +b\\3= 1+b\\3-1 =b\\b=2\\$

Putting the values of m and b in standard form

$y=-x+2$

Hence the equation of perpendicular bisector of BC is

$y=-x+2$

Keywords: Perpendicular bisector, Point-slope form

Learn more about point-slope form at:

#LearnwithBrainly

6 0

3 years ago

A strip is 5ft long and 2 feet wide. How much stripping is needed

Gnom [1K]

That would be 10ft²

Because LxW=A

so we did 5x2=10

3 0

2 years ago

A contest on a game show has 30 points.she answers a question correctly to win 15 points.the she answers a question incorrectly

Oksanka [162]

5 points, because I think you’re saying they started off with 30 points and they answered a question wrong a lost 25 so 30-25 is 5.

8 0

2 years ago

What is the percent increase modeled in the function f(x)=20(1.5)^x

blagie [28]

The increase is D: 50% because the 1 in the parentheses stands for the 20 that was already there, with the .5 being the amount that’s actually being increased. 0.5 translates to 50%, so the answer is D.

6 0

3 years ago

How many miles equals 26 km

Sliva [168]

Given data:

The given distance is d=26 km.

We know 1 kilometer is equal to approx 0.621 miles.

1km= 0.621 miles

Multiply the above expression with 26 on both sides.

26(1 km)= 26(0.621 miles)

26 km= 16.146 miles.

Thus, 26 kilometer is equal to 16.146 miles

4 0

11 months ago