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
Svetllana [295]
3 years ago
9

In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. AC=5 and BH=2, find AH and CH.

Mathematics
1 answer:
Yakvenalex [24]3 years ago
3 0

Answer:

  AH = 1 or 4

  CH = 4 or 1

Step-by-step explanation:

An altitude divides a right triangle into similar triangles. That means the sides are in proportion, so ...

  AH/BH = BH/CH

  AH·CH = BH²

The problem statement tells us AH + CH = AC = 5, so we can write

  AH·(5 -AH) = BH²

  AH·(5 -AH) = 2² = 4

This gives us the quadratic ...

  AH² -5AH +4 = 0 . . . . in standard form

  (AH -4)(AH -1) = 0 . . . . factored

This equation has solutions AH = 1 or 4, the values of AH that make the factors be zero. Then CH = 5-AH = 4 or 1.

You might be interested in
According to forrest gump, "life is like a box of chocolates. you never know what you're gonna get." suppose a candy maker offer
kifflom [539]
14/20=0.7 or 70% are soft-centred. If we take two candies we have three possibilities associated with probabilities:
Both soft-centred: 0.7²=0.49 or 49%
Both hard-centred: 0.3²=0.09 or 9%
One of each: 2×0.3×0.7=0.42 or 42%. 49+9+42=100%. So these are all the possible outcomes.
6 0
3 years ago
What are some effects that can occur in a country if large numbers of people are out of work?
krok68 [10]

Answer:

It increases national debt. This happens because the unemployed don't participate in doing taxes because they do not have a job. It also effects other businesses because people with less money won't buy as many things which leads to other companies losing money.

7 0
2 years ago
Use the diagram and given information to answer the questions and prove the statement.
Greeley [361]

Answer:

See explanation

Step-by-step explanation:

<u> ASA Postulate (Angle-Side-Angle):</u>

If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Consider triangles XYB and ZYA. In these triangles

  • ∠X≅∠Z (given)
  • XY≅ZY (given)
  • ∠Y is common angle

By ASA Postulate, triangles XYB and ZYA are congruent. Congruent triangles have congruent corresponding sides, so

BX≅AZ

6 0
3 years ago
10
schepotkina [342]

Answer:

3.56 cm.

Step-by-step explanation:

1/3 π r^2 h = V

1/3 π (5.13)^2 h  = 98

h = 98 / (1/3 π (5.13)^2)

=  98 / 27.55899

= 3.556.

3 0
3 years ago
2. If 5 + x = 12, and you add-5 to the left side of equation, what should you add to the right side of the equation?
Dafna1 [17]

Answer:

b.-5

Step-by-step explanation:

Whatever you do to one side you do to the other

8 0
3 years ago
Read 2 more answers
Other questions:
  • Can you please help me !
    9·1 answer
  • The circumference of a circle is 75.36 cm. What is the area in square
    14·2 answers
  • What are the solutions of the equation x4 + 95x2 – 500 = 0?
    10·1 answer
  • Solve using synthetic division.<br><br> (x2 + 3) ÷ (x − 1)
    15·1 answer
  • Attempt
    12·1 answer
  • $216.54+ $243.38+$176.59=what is the sum of
    14·2 answers
  • In a classroom,1/6,of the students are wearing blue shirts,and 2/3 are wearing white shirts. There are 12 students in the classr
    8·2 answers
  • The sizes of the interior angles of a triangle are in the ratio 1:3:8
    14·2 answers
  • Find the coordinates of d if e (-6,4) Is the midpoint of df and f has coordinates (-5,-3)
    13·1 answer
  • Tim and Dan were playing football against Jason and Luke.Touchdowns are worth 7 points .Tim and Dad scored 4 touchdowns. Jason a
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!