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zimovet [89]
3 years ago
11

Find the area, in square meters, of an equilateral triangle with a perimeter of 36 m.

Mathematics
1 answer:
Citrus2011 [14]3 years ago
6 0
I hope it helps you!!!

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Do the following proofs
Anna11 [10]

1) By the SSS postulate we can tell that these two triangles are congruent.

-> What is SSS?

[] When three sides of a triangle are congruent to the three sides of another triangle, then the two triangles are said congruent by side-side-side

[] The proof for the assignment

AB = DF, AC = DE, BC = EF    |    Given

The triangles are congruent   |    SSS Postulate

2) We can use AAS for these two triangles.

-> What is AAS?

[] When one side and two angles of a triangle are congruent to one side and two angles of another triangle, then the two triangles are said congruent by angle-angle-side

-> How does this apply here?

[] We are given that two angles are congruent to each other, so the angle-angle part is solved for. Since these two triangles share a side, that side will be congruent for each triangle, giving us angle-angle-side

[] The proof for the assignment

Angle T = angle N, angle TAB = angle NAB   |   Given

AB = AB   |    Reflexive Property

The triangles are congruent   |   AAS Postulate

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

6 0
2 years ago
There are two non congruent triangles where B=55 degrees a=15 and b=13. Find the measures of the angles of the triangle with the
liq [111]

Answer:

The side c needs to be 12.85 for the triangle to have greatest perimeter

Step-by-step explanation:

We are given;

b = 13

a = 15

Angle at b: B = 55°

Let's find side c.

Using the law of cosines,we have;

b² = a² + c² - 2ac•cos(B)

13² = 15² + c² - 2•15•c•cos(55)

169 = 225 + c² - 30c•cos(55)

c² - 30c•cos(55) + 225 - 169 = 0

c² - 30c•cos(55) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 17.208c + 56 = 0

Using quadratic formula;

c = [-(-17.208) ± √((-17.208)² - (4•1•56)]/2(1)

c = [17.208 ± √(296.115 - 224)]/2

c = 8.604 ± 4.246

To have the greater perimeter, we need the larger value of c, thus we will use the positive sign and ignore the negative one ;

Thus,

c = 8.604 + 4.246 = 12.85

5 0
3 years ago
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