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Iteru [2.4K]
2 years ago
7

Triangle FGH is formed by connecting the midpoints of the side of triangle CDE The lengths of the sides of triangle FGH are show

n. Find the perimeter of triangle CDE. Figures not necessarily drawn to scale.

Mathematics
1 answer:
Vlad1618 [11]2 years ago
5 0

Answer: 36

Step-by-step explanation:

By the triangle midsegment theorem, CE=16, CD=10, and ED=10.

So, the perimeter of triangle CDE is 10+10+16=<u>36</u>

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Using Triangle Congruence Theorems
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There are a total of five theorems congruent triangles. They are summarized as:

  • SAS
  • SSS
  • AAS
  • RHS and
  • ASA.

<h3>What are the definitions of the Theorems of Congruent Triangles?</h3>

SAS - Side Angle Side

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

SSS - Side Side Side Rule

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are proportional to the size three sides of the second triangle.

AAS - Angle Angle Side Rule
Angle-Angle-Side is abbreviated as AAS. The triangles are said to be congruent when two angles and a non-included side of one triangle match the comparable angles and sides of another triangle.

ASA - Angle Side Angle rule

According to the ASA rule, two triangles are said to be congruent if any two angles and the side contained between the angles of one triangle are proportional to the size two angles and side included in between angles of the second triangle.

RHS - Right Angle- Hypotenuse side Rule

According to the RHS rule, two right triangles are said to be equivalent if their hypotenuses and one of their sides are identical to those of another right-angled triangle.

Learn more about theorems of congruent triangles at:
brainly.com/question/2102943
#SPJ1

4 0
2 years ago
Given the arithmetic sequence with the following two
kondor19780726 [428]

Answer:

aₙ = -15 + 10 * (n-1)

Step-by-step explanation:

aₙ = a₁ + (n-1)*d       a₁: first term     d: common difference

a₅  a₁ + 4d =25 .... (1)

a₁₁  a₁ + 10d = 85   ...(2)

(2) - (1)     6d = 60

d = 10

a₁ = -15

Formula: aₙ = -15 + 10 * (n-1)

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Its 0 because the slope would be one if it was a positive line and itd go up and across one unitl and it is undefined if it is parallel to the y axis
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<u>Direct Variation is a relation that is of the form y = mx.</u>

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Explanation:

This is a simple way to see the difference between them.

<em>Hope This help you!</em>

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