anonymous
  • anonymous
Several triangles are shown below with congruent sides, congruent angles and right angles shown. NEED HELP PLEASE!!! I WILL GIVE YOU A MEDAL IF YOU ANSWER.
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
mathstudent55
  • mathstudent55
What is a scalene triangle?
anonymous
  • anonymous
A triangle that are unequal.

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anonymous
  • anonymous
kind of like this
mathstudent55
  • mathstudent55
Yes, all sides have different lengths.
anonymous
  • anonymous
|dw:1435628118651:dw|
mathstudent55
  • mathstudent55
I think you can only conclude two sides are congruent if the figure shows it, right? For example in triangle ABC, we are shown that sides AB and BC are congruent.
mathstudent55
  • mathstudent55
In triangle FED, we don't know that any sides are congruent.
anonymous
  • anonymous
I got for A. QRT DEF, and GHI
anonymous
  • anonymous
so it would only be QRT?
mathstudent55
  • mathstudent55
|dw:1435628307134:dw|
mathstudent55
  • mathstudent55
We only know about sides being congruent in the three triangles on the left. That means the three triangles on the right are scalene.
mathstudent55
  • mathstudent55
|dw:1435628565788:dw|
mathstudent55
  • mathstudent55
(a) Triangles FED, JKL, and QRT
anonymous
  • anonymous
ok thanks
mathstudent55
  • mathstudent55
Ok. Now isosceles. What is an isosceles triangle?
anonymous
  • anonymous
|dw:1435628698681:dw|
mathstudent55
  • mathstudent55
Can you explain it in words? What do you know about lengths of sides in an isosceles triangle?
anonymous
  • anonymous
Umm, its kind of elongated in a way.
mathstudent55
  • mathstudent55
Specifically, an isosceles triangle is a triangle that has at least two congruent sides.
mathstudent55
  • mathstudent55
Examples of isosceles triangle. In each case, at least two sides are congruent. |dw:1435628860898:dw|
mathstudent55
  • mathstudent55
If all sides are congruent, then it's a special case of an isosceles triangle that is also equilateral.
mathstudent55
  • mathstudent55
Now look in the figure of your problem. Which triangles have at least two congruent sides?
anonymous
  • anonymous
GHI, AND ABC
mathstudent55
  • mathstudent55
|dw:1435628996774:dw|
mathstudent55
  • mathstudent55
Also MNP
mathstudent55
  • mathstudent55
(b) Triangles ABC, GHI, MNP
anonymous
  • anonymous
But its right? how does it have same sides?
mathstudent55
  • mathstudent55
You mean MNP?
anonymous
  • anonymous
yes
mathstudent55
  • mathstudent55
The figure with your problem shows little marks on the sides of triangle MNP . Those marks mean that those sides are congruent.
anonymous
  • anonymous
oh ok thanks
mathstudent55
  • mathstudent55
|dw:1435629184547:dw|
mathstudent55
  • mathstudent55
Ok, next is (c). Which triangles are right triangles? A right triangle has one right angle.
anonymous
  • anonymous
MNP AND DEF?
mathstudent55
  • mathstudent55
|dw:1435629246793:dw|
mathstudent55
  • mathstudent55
Correct. (c) Triangles EDF and MNP
mathstudent55
  • mathstudent55
Now (d), equilateral triangles. An equilateral has all three sides congruent.
anonymous
  • anonymous
ABC, JKL
mathstudent55
  • mathstudent55
In triangle ABC, we only know sides AB and BC are congruent. That makes the triangle isosceles. To be equilateral, you need all sides congruent. The sides of triangle JKL have no marks on them at all. We don't know what their lengths are and if they are the same or different. Therefore, we cannot make any conclusions about the sides being congruent. Look at triangle GHI. The 2 marks on each side mean that all sides are congruent. Triangle GHI is equilateral.
mathstudent55
  • mathstudent55
(d) Triangle GHI
anonymous
  • anonymous
is there a difference betwen the lines on ABC and GHI
anonymous
  • anonymous
?
mathstudent55
  • mathstudent55
In ABC, two sides have 1 mark each. That means those two sides are congruent. In GHI, each side has two marks each. That means all three sides are congruent, but different from the sides in ABC.
anonymous
  • anonymous
aww ok
mathstudent55
  • mathstudent55
On the other hand, since sides AB and BD have one mark each, and sides MN and NP also have one mark each, that means all 4 of those sides are congruent.
mathstudent55
  • mathstudent55
Finally, we get to (e). Do you know what an obtuse triangle is?
mathstudent55
  • mathstudent55
(Hint: think of a right triangle, but substitute obtuse for right.)
anonymous
  • anonymous
yes it means that it's greater then 90 degrees.
anonymous
  • anonymous
than
mathstudent55
  • mathstudent55
Right triangle: \(\sf A ~\color{red}{right} ~triangle ~has ~one ~\color{red}{right} ~angle.\) Obtuse triangle: \(\sf A \color{green}{n~obtuse} ~triangle ~has ~one ~\color{green}{obtuse} ~angle.\)
mathstudent55
  • mathstudent55
Correct. Which triangles have one angle of more than 90 degrees?
anonymous
  • anonymous
QRT
mathstudent55
  • mathstudent55
Correct, but I think that JKL also has an obtuse angle. |dw:1435630158625:dw|
mathstudent55
  • mathstudent55
(e) Triangles JKL and QRT
anonymous
  • anonymous
oh ok
anonymous
  • anonymous
Thank you so much for all the help I needed it!
mathstudent55
  • mathstudent55
You are welcome.

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