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Alex17521 [72]
3 years ago
15

A triangle has side lengths 87cm 21cm and 93cm is the triangle acute obtuse or right

Mathematics
2 answers:
Lana71 [14]3 years ago
6 0
The triangle is obtuse.

Alex_Xolod [135]3 years ago
6 0

Answer:  The given triangle is an obtuse triangle.

Step-by-step explanation:  Let ABC be the given triangle, where the side lengths are as follows :

AB=87~\textup{cm},~~BC=21~\textup{cm},~\textup{and}~CA=93~\textup{cm}.

We are to check whether ΔABC is acute, obtuse or right.

We know that ΔABC will be

(i) Acute, if AB² + BC² > CA²,

(ii) Obtuse, if AB² + BC² < CA²,

(iii) Right, if AB² + BC² = CA².

Now, we have

AB^2=87^2=7569,\\\\BC^2=21^2=441,\\\\CA^2=93^2=8649.

So,

AB^2+BC^2=7569+441=8010

Therefore, the given triangle is an obtuse triangle.

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What relations are functions
Inessa05 [86]

The requirement is that every element in the domain must be connected to one - and one only - element in the codomain.


A classic visualization consists of two sets, filled with dots. Each dot in the domain must be the start of an arrow, pointing to a dot in the codomain.


So, the two things can't can't happen is that you don't have any arrow starting from a point in the domain, i.e. the function is not defined for that element, or that multiple arrows start from the same points.


But as long as an arrow start from each element in the domain, you have a function. It may happen that two different arrow point to the same element in the codomain - that's ok, the relation is still a function, but it's not injective; or it can happen that some points in the codomain aren't pointed by any arrow - you still have a function, except it's not surjective.

6 0
3 years ago
(HELP ASAP!!) An exterior angle of a triangle is 152°. If the non-adjacent angles are congruent, then what are the measures of a
tresset_1 [31]

Answer:

  c) 28°, 76°, 76°

Step-by-step explanation:

The two remote interior angles sum to 152°. Since they are congruent, their measures are 152°/2 = 76°. The adjacent interior angle is the supplement of 152°, so is 180°-152° = 28°.

The interior angles are 28°, 76°, 76°.  . . . .  matches choice C

4 0
3 years ago
The history museum is hosting a special exhibition on history of flight. The admission ticket for each adult costs $7 and the ad
stiks02 [169]

Answer:

Use simultaneous equation for this problem

y= number of adults

x = number of children

3y + 2x = 160

y + x = 60

then we double the second equation

3y + 2x = 160

2y + 2x = 120

we cancel x by elimination

3y - 2y = 160 - 120

y = 40

Step-by-step explanation:

hope this helps

5 0
2 years ago
A, B and C lie on a straight line.<br>Given that angle y = 135° and angle z = 97°, work out x.​
Over [174]

Answer:

135°+97°+x=180°. 232°+x=180°. x=232-180=102°

:x=102°

8 0
3 years ago
Factor 9x^2+66xy+121y^2
Korvikt [17]
Answer: (3x + 11y)^2

Demonstration:

The polynomial is a perfect square trinomial, because:

1) √ [9x^2] = 3x

2) √121y^2] = 11y

3) 66xy = 2 *(3x)(11y)

Then it is factored as a square binomial, being the factored expression:

 [ 3x + 11y]^2

Now you can verify working backwar, i.e expanding the parenthesis.

Remember that the expansion of a square binomial is:

- square of the first term => (3x)^2 = 9x^2
- double product of first term times second term =>2 (3x)(11y) = 66xy
- square of the second term => (11y)^2 = 121y^2

=> [3x + 11y]^2 = 9x^2 + 66xy + 121y^2, which is the original polynomial.

7 0
3 years ago
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