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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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Crystal earns $5.50 per hour mowing lawns.how much does crystal earn if she works 3 hours and 45 minutes
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3 years ago
Given the graph, find an equation for the parabola.
Sauron [17]

Answer:

\Large \boxed{\sf \bf \ \ y=\dfrac{1}{16}(a-3)^2-2 \ \  }

Step-by-step explanation:

Hello, please consider the following.

When the parabola equation is like

y=a(x-h)^2+k

The vertex is the point (h,k) and the focus is the point (h, k+1/(4a))

As the vertex is (3,-2) we can say that h = 3 and k = -2.

We need to find a.

The focus  is (3,2) so we can say.

2=-2+\dfrac{1}{4a}\\\\\text{*** We add 2. ***}\\\\\dfrac{1}{4a}=2+2=4\\\\\text{*** We multiply by 4a. ***}\\\\16a=1\\\\\text{*** We divide by 16. ***}\\\\a=\dfrac{1}{16}

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4 0
3 years ago
Which expression illustrates the associative property of addition?
4vir4ik [10]

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Step-by-step explanation:

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3 0
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6 0
2 years ago
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