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2 years ago

Classify the triangle with the given side lengths as acute, right, obtuse, or not a triangle:

Mathematics

2 answers:

slavikrds [6]2 years ago

8 0

Answer:

It is not a right triangles because 15^2 + 13^2 is NOT EQUAL to 19^2

let x, y, and z be the angles inside the triangle.

Law of cosines says:

19^2 = 13^2 + 15^2 - 2(13)(15)cos x

361 = 169 + 225 - 390 cos x

-33 = -390 cos x

-33/-390 = cos x

11/130 = cos x

x = inverse cosine (11/130)

= 85.14609471338569.....

Per law of sines:

sin x/19 = sin y / 13

(13/19)sinx = sin y

inverse_sine ( (13/19) sin x) = y

y = 42.9810733896016548....

Per law of sines

sin x/19 = sin z / 15

z = inverse_sine( (15/19) sin x)

= 51.8728352950227805....

So it is an acute triangle and yes, these angles add up to 180

Over [174]2 years ago

7 0

Answer:

acute

Step-by-step explanation:

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The area of a triangular flag is 132 square centimetres. Its altitude is 2 centimetres longer than twice its base. Find the leng

Anika [276]

Answer:

24 cm and 11 cm

Step-by-step explanation:

GIVEN: The area of a triangular flag is $132 \text{ cm}^2$ . Its altitude is $2\text{ cm}$ longer than twice its base.

TO FIND: lengths of the altitude and the base.

SOLUTION:

Let the altitude and the base of flag be $a$ and $b$

According to the question

$a=2+2b$

area of triangle $=\frac{1}{2}\times base \times alltitude=\frac{1}{2}a\times b$

$\implies \frac{1}{2}(2b+2)b=132 \Rightarrow 2b^2+2b-264$

Solving equation we get

$b=11$ then $a=24$

Hence the lengths of altitude and base of triangular flag is 24 cm and 11 cm respectively.

8 0

3 years ago

HELP, i’m not good a triangles

seraphim [82]

Answer:

Step-by-step explanation:

SSS stand for Side Side Side, so the truangle must identify all it's sides. To identify sides it uses lines through the side like in B where 1 side has 1 line, 1 side has 2 lines, and the other side has 3 lines. That is the side identifiers, and because each side in B matches with 1 side in A, means that A and B are congruent because they have the same sides, so SSS.

This is confusing to explain, if you have any questions post them in the comments.

3 0

2 years ago

zzz [600]

Answer:1 computer : 8 students

Step-by-step explanation:

if there are 9 computers it would originally be 9 : 72 but that can be reduced since 9 is a factor of 72.

8 0

3 years ago

Read 2 more answers

What are 25 times by the same number then divide it by sixty

larisa86 [58]

25(25) = 625

625/60 ≈ 10.4166

Or when rounded to the nearest hundredth, 10.42

6 0

3 years ago

The equation x^3+x^2+ax-4=0 has one root equal to -2. Find the value of a.

Vedmedyk [2.9K]

Answer:

a = - 4

Step-by-step explanation:

Given x = - 2 is a root then f(- 2) = 0

f(x) = x³ + x² + ax - 4, thus

f(- 2) = (- 2)³ + (- 2)² - 2a - 4 = 0, that is

f(- 2) = - 8 + 4 - 2a - 4 = 0, thus

- 8 - 2a = 0 ( add 8 to both sides )

- 2a = 8 ( divide both sides by - 2 )

a = - 4

5 0

3 years ago