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
Yuki888 [10]
3 years ago
11

The angles in a triangle are in the ratio 1:2:3. Show that this triangle is a right-angled triangle. The hypotenuse of the trian

gle is 19 cm long. Calculate the length of the shortest side in the triangle

Mathematics
1 answer:
natita [175]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

(a)

Sum the parts of the ratio , 1 + 2 + 3 = 6 parts

Divide sum of angles in a triangle by 6 to find the value of one part of the ratio.

180° ÷ 6 = 30° ← value of 1 part of the ratio

2 parts = 2 × 30° = 60°

3 parts = 3 × 30° = 90°

Since there is an angle of 90° then the triangle is right.

(b)

The shortest side is the side opposite the smallest angle of 30°

Using the sine ratio and the exact value

sin30° = \frac{1}{2} , then

sin30° = \frac{opp}{hyp} = \frac{opp}{19} = \frac{1}{2} ( cross- multiply )

2 opp = 19 ( divide both sides by 2 )

opp = 9,5

Shortest side in the triangle is 9.5 cm

You might be interested in
During the first month on sale, the school store sold 186 shirts for $6.50 each. How much profit did the school make on these sh
ira [324]

Answer:

write it out i gotchu den.

Step-by-step explanation:

8 0
2 years ago
AREA
natka813 [3]

Answer:

Show the figure

Step-by-step explanation:

3 0
3 years ago
How do I do this? I’m not very good at geometry.
garri49 [273]
You need to study more
6 0
3 years ago
What is the slope of a line that runs parallel to y= x + 14
MAXImum [283]

Answer:

m=1

Step-by-step explanation:

y= x + 14

This equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope for the line is 1

Parallel lines have the same slope

m=1

4 0
3 years ago
What is the slope of the line represented by the equation y = –1/2x+1/4?
max2010maxim [7]

Answer:

A. -½

Step-by-step explanation:

In the Slope-Intercept Formula, <em>y = mx + b</em><em>,</em><em> </em><em>m</em><em> </em>represents the <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>], so in this case, the slope is -½.

I am joyous to assist you anytime.

7 0
3 years ago
Other questions:
  • Luther puts $50 a week into a savings account from his part-time job. If he has $200 in savings now, how much will Luther have 6
    5·2 answers
  • Please help me please
    11·1 answer
  • Susie Smith wants to know the amount by which her service charge has increased before she receives her bank statement. In the pa
    5·2 answers
  • )What is the distance between the points (12, 9) and (0, 4)
    9·1 answer
  • Gavin has 16 blue marbles and 8 white ones. If he wants to place them in identical groups
    9·1 answer
  • What is the discriminant of the quadratic equation<br>7x^2-4x+5=0​
    9·2 answers
  • Someone help me with this math homework please!
    13·1 answer
  • Find KL round to nearest tenth
    15·1 answer
  • Y = 3x + 4<br> What is the y-intercept?<br> What is the slope?
    12·2 answers
  • In a survey of 300 college graduates, 46% reported that they entered a profession closely related to their college major. If 9 o
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!