Find the circumferences of both circles
2 answers:
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The area of triangle BMN is 124.7 square centimeter.
<h3>What are similar triangles?</h3>Similar triangles are triangles that their corresponding angles are equal and the ratio of their corresponding lengths are equal. They are often similar When at least Two angles are equal or The ratio of any corresponding lengths are same.
Analysis:
AB = AC = BC = 50cm
AH = AC/2 = 50/2 = 25cm
From Δ ABH, using Pythagoras theorem to find BH.
=
-
=
-
= 2500 - 625
= 1875
BH = = 43.3cm
ΔBMN and BHC are similar,
so, BM/BH = MN/HC
BM/43.3 = 12/25
25BM = 12 X 43.3
BM = 519.6/25 = 20.78cm
Area of ΔBMN
= 1/2(MN)(BM) = 1/2 x 12 x 20.78 = 124.7 square centimeter
Learn more about similar triangles: brainly.com/question/2644832
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The square root of 20 is between 4 and 5.
<h3>Whole Numbers</h3>They are the numbers represented by positive real numbers where the fractions and decimal numbers are not included.
For solving this question, you should list the whole numbers whose your square is less than 30. Your list must present the following numbers:
0 ⇒ 0²=0
1 ⇒ 1²=1
2 ⇒ 2²=4
3 ⇒3²=9
4 ⇒ 4²=16
5 ⇒ 5²=25
Note that 6²=36, it is greater than 30,because of this it is not in the previous list.
The question asks to determine between which two whole numbers lies the square root of 20. Therefore, from the previous list, it is possible to see that the value 20 is between 16 and 25. The square root of 16 and 25 is equal to 4 and 5, respectively.
Thus, the square root of 20 is between 4 and 5. You can check this results in your calculator:
Learn more about the square root here: