1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
natka813 [3]
3 years ago
11

Given triangle abc which of the following must be true

Mathematics
2 answers:
alexgriva [62]3 years ago
7 0
<h2>Answer:</h2>

The correct statements are:

                     I, II , III

<h2>Step-by-step explanation:</h2>
  • In the given triangle i.e. ΔABC we have:

length of side AB= length of side AC= 20 units

          Hence, we have:

                  ∠B≅∠C

( since the angle opposite to equal side are equal )

  • Also, we see that the line AD is perpendicular to side BC.

         Hence, we have:

                ∠BDA≅∠CDA

      ( Since both the angles have equal measure )

  • Hence, as two angles of a triangle are congruent to each other so the third angle will also be congruent.

( Since m∠B=m∠C

and m∠ADB=m∠ADC

⇒  m∠B+m∠ADB=m∠C+m∠ADC--------------(1)

By triangle sum theorem we have:

   In ΔADB

m∠B+m∠ADB+m∠DAB=180°

⇒    m∠DAB=180°-(m∠B+m∠ADB)

and in ΔADC by triangle sum theorem we have:

m∠DAC=180°-(m∠C+m∠ADC)

Hence, by equation (1) we have:

       m∠DAB=m∠CAD )

SVETLANKA909090 [29]3 years ago
4 0
I, II, and III are all correct.
You might be interested in
Whats the volume of the prism please show work‼️
attashe74 [19]

Answer:

Step-by-step explanation:

Volume of a prism:

Area of cross section x height

4 0
2 years ago
What is the value of x, if the area of ΔABC is 12√3 square cm.
lana [24]

Answer:

What is the value of x, if the area of ΔABC is 12√3 square cm ...

Step-by-step explanation:

maybe this link  helps you

6 0
2 years ago
At Pizza Pi, 68% of the pizzas made last week had extra cheese. If 17 pizzas had extra cheese, how many pizzas in all were made
Andrei [34K]

Answer: 50

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Name a three dimensional shape that has four trianglular faces and one rectangular face
larisa86 [58]

A pyramid

Have a nice day!

6 0
2 years ago
Solving inequalities <br> 3/5 * p ≤ 6
beks73 [17]

Answer:

p ≤ 10

Step-by-step explanation:

3/5 * p ≤ 6

Multiply each side by 5/3

5/3 *3/5 * p ≤ 6* 5/3

p ≤ 10

4 0
3 years ago
Read 2 more answers
Other questions:
  • Answer these two questions Please
    13·1 answer
  • Help please I don’t understand:(
    12·1 answer
  • 1. Albert has 95 buttons in his collection. His brother has more than 35 buttons. How many buttons do they have altogether? 2. T
    6·1 answer
  • THe yearly profits of a company is $35,000, but they have been decreasing 6% per year. What will be the profit in 8 years?
    15·1 answer
  • Which is least 0.5, 0.05, 0.625
    11·1 answer
  • Carla named a fraction that was not a multiple of 3/8. Which fraction could she have named?
    14·1 answer
  • Which expression is equivalent to square root -108 - square root -3?
    13·1 answer
  • Factor the following trinomials. (Hint: Solve the equations first.) a x2-3x+1
    10·1 answer
  • DUE TODAY pleaseee help me :) thanksss I’ll give u the brainliest
    11·2 answers
  • Please help I’ll mark you as brainliest if correct
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!