Please answer the question in the picture. Answer all parts, thank you **Triangle Midsegment Theorem**In triangle ABC, let $ M $ be the midpoint of $ AB $ and $ N $ be the midpoint of $ AC $.Suppose that you measure $ MN $ and find it to be 7.3 cm long. How long would $ BC $ be?If you were to measure angles $ AMN $ and $ ABC $, what would you find?**Explanation of the Theorem:**- According to the Triangle Midsegment Theorem: - $ MN $ is parallel to $ BC $. - $ MN $ is half the length of $ BC $.**Given Data:**- $ MN = 7.3 $ cm**Calculation:**- Since $ MN $ is parallel to $ BC $ and half its length:\[ BC = 2 \times MN = 2 \times 7.3\, \text{cm} = 14.6\, \text{cm} \]Therefore, $ BC $ would be 14.6 cm long.**Angles:**- $ \angle AMN = \angle ABC $, because $ MN \parallel BC $. This means the angles are congruent due to the Corresponding Angles Postulate.

Concept: Midpoint theorem of the triangle: According to the midpoint theorem, "the line segment in a…

In triangle ABC, let M be the midpoint of AB and N be the midpoint of AC. Suppose that you measure MN and find it to be 7.3 cm long. How If you were to measure angles AMN and ABC, what would you find? long would BC be?

In triangle ABC, let M be the midpoint of AB and N be the midpoint of AC. Suppose that you measure MN and find it to be 7.3 cm long. How If you were to measure angles AMN and ABC, what would you find? long would BC be?

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter44: Solution Of Equations By The Subtraction, Addition, And Division Principles Of Equality

Section: Chapter Questions

Problem 38A

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

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Please answer the question in the picture. Answer all parts, thank you

**Triangle Midsegment Theorem**

In triangle ABC, let $ M $ be the midpoint of $ AB $ and $ N $ be the midpoint of $ AC $.

Suppose that you measure $ MN $ and find it to be 7.3 cm long. How long would $ BC $ be?

If you were to measure angles $ AMN $ and $ ABC $, what would you find?

**Explanation of the Theorem:**
- According to the Triangle Midsegment Theorem:
- $ MN $ is parallel to $ BC $.
- $ MN $ is half the length of $ BC $.

**Given Data:**
- $ MN = 7.3 $ cm

**Calculation:**
- Since $ MN $ is parallel to $ BC $ and half its length:
\[ BC = 2 \times MN = 2 \times 7.3\, \text{cm} = 14.6\, \text{cm} \]

Therefore, $ BC $ would be 14.6 cm long.

**Angles:**
- $ \angle AMN = \angle ABC $, because $ MN \parallel BC $. This means the angles are congruent due to the Corresponding Angles Postulate.

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