All categories

3 years ago

Geometric proofs of segments

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

3 0

Answer:

The proof is shown below.

Step-by-step explanation:

Given: B is mid point of AC and C is mid-point of BD.

To prove: AD=3AB

It is given that B is mid-point of AC.

⇒ AB = BC ...(1)

Also, C is mid-point of BD.

⇒ BC = CD ...(2)

From (1) and (2),

AB = BC = CD

Now, AD = AB + BC + CD

⇒ AD = AB + AB + AB (∵ AB = BC = CD )

Hence proved.

You might be interested in

A geologist digs 5 feet down into the ground before taking a break. This process is repeated 3 times to create a hole that has a

Nikitich [7]

The answer to the problem is D.

7 0

3 years ago

An advertising blimp hovers over a stadium at an altitude of 125 m. The pilot sights a tennis court at and 8° angle of depressio

tatuchka [14]

Answer:

Hence the ground distance is about 889m between stadium and Tennis court.

Step-by-step explanation:

Given:

A pilot at height of 125 m(flying the advertising blimp)

angle of depression=8 degrees.

To find :

The ground distance stadium and tennis court.

Solution :

Using Trigonometric Function we can solve it ,

(Refer the attachment for fig)

Considering above data we get a triangle(ABC)

with point A represent pilot position and C court position and B as stadium.

The height AB=125 m

angle of depression= 8 degrees.

Using

tan(8)=125/BC

BC=125/tan(8)

=125/0.14054

=889.2

=889 m

Hence the ground distance is about 889m between stadium and Tennis court.

6 0

4 years ago

Exercises

lyudmila [28]

Answer:

minimum 380 student tickets must be sold.

Step-by-step explanation:

c) 500x7=3500

intended =5400

5400-3500=1900

1900/5= 380

3 0

3 years ago

I NEED HELP WITH thiss

Ainat [17]

X=8 is the Answer. So the equation would be <span>-8+4(1+5 times 8 )=156 </span>

6 0

4 years ago

Find the measure of CP

dmitriy555 [2]

Given:

A figure ABCP.

To find:

The measure of CP.

Solution:

In triangles ABP and CBP,

$\angle PAB\cong \angle PCB$ (Given right angles)

$\angle ABP\cong \angle CBP$ (Given)

$BP=BP$ (Common side)

Now,

$\Delta ABP\cong \Delta CBP$ (By AAS property of congruence)

We know that the corresponding parts of congruent triangles are congruent.

$AP=CP$

$8=CP$

Therefore, the measure of CP is 8 units.

6 0

3 years ago