Which symbol makes the sentence true?
1 answer:
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Answer:
MC = 4.5cm
Step-by-step explanation:
Question:
Let the isosceles triangle ABC with AB = AC = 3 cm. if the mediator of the sides AC intersects with the side BC in M and the perimeter of the triangle AMC = 12 cm. Calculate MC.
Solution:
Find attached the diagram used in solving the question.
Given:
∆ABC is an isosceles triangle (two sides and angles are equal)
AB = BC = 3cm
Perimeter of ∆AMC = 12cm
From the diagram, M cuts AC at the the middle.
AD = CD = AC/2 = 3/2
Perimeter of Right angled ∆AMD = AM + AD + MD
= 3/2 + AM +MD
Perimeter of Right angled ∆CMD =CM + CD + MD
= 3/2 + CM +MD
Right angled ∆AMD = Right angled ∆CMD
CM = AM
Therefore ∆AMC is an isosceles triangle
CM = AM (two sides of an isosceles triangle are equal)
Let CM = AM = x
Perimeter of ∆AMC = AM + CM + AC
12 = x + x + 3
12 = 2x + 3
2x = 12-3
2x = 9
x = 9/2 = 4.5
CM = AM = 4.5cm
MC = CM = 4.5cm
Found a complete text of the above question:
<span>After giving a statistics exam, professor Dang determined the following five number summary for her class results: 57 65 75 88 97
Use this information to draw a box plot of the exam scores. Choose the correct graph below.
57 and 97 serves as the whiskers of the box plot. 57 is the minimum number while 97 is the maximum number.
65 and 88 serves as the ends of the box while 75 is the line found inside the box.
Choices of for the correct graph is attached but my answer is graph B.</span>
<span>After giving a statistics exam, professor Dang determined the following five number summary for her class results: 57 65 75 88 97
Use this information to draw a box plot of the exam scores. Choose the correct graph below.
57 and 97 serves as the whiskers of the box plot. 57 is the minimum number while 97 is the maximum number.
65 and 88 serves as the ends of the box while 75 is the line found inside the box.
Choices of for the correct graph is attached but my answer is graph B.</span>