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Exam number 219:12Fill in the blank with the suitable number (Note: write decimal number with the dot between number part and fraction part. Example: 0.5)Question 1:Given .Find the value of such that its degree is equal to 4.Answer: The value of is Question 2:The value of with is Question 3:Given . The degree of is Question 4:Given .The degree of is Question 5:Given .The value of is Question 6:In this figure, if the length of the line segment is an even number.Then .Question 7:Given .T...
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Exam number 219:12
Fill in the blank with the suitable number (Note: write decimal number with "the dot" between number part and fraction part. Example: 0.5)
Question 1:
Given .
Find the value of "" such that its degree is equal to 4.
Answer: The value of "" is
Question 2:
The value of with is
Question 3:
Given .
The degree of is
Question 4:
Given .
The degree of is
Question 5:
Given .
The value of is
Question 6:
In this figure, if the length of the line segment is an even number.
Then .
Question 7:
Given .
The value of
Question 8:
The value of with is
Question 9:
Given with .
Then the minimum of is
Question 10:
The minimum value of is
Given the point C on the segment AB such that the ratio of AC to CB is 3:7. Find the length of BC if the length of AB is 30 cm.
Answer: The length of BC is ...... cm
ABC has the height AH.AH=20cm, BH = 6cm and Ch=12cm. M is the point in AC satisfying that BM=MC. The length of BM is ... cm. Round the answer to the nearest hundredth
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The sum of angles at the base of a trapezoid is equal to 90 độ. Prove that the segment that connects the mid points of the bases is equal to a a half difference of the bases.
1. Two bisector BD and CE of the triangle ABC intersect at O. Suppose that BD.CE 2BO.OC . Denote by H the point in BC such that .OH⊥BC . Prove that AB.AC 2HB.HC 2. Given a trapezoid ABCD with the based edges BC3cm , DA6cm ( AD//BC ). Then the length of the line EF ( Ein AB,Fin CD and EF // AD ) through the intersection point M of AC and BD is ............... ? 3. Let ABC be an equilateral triangle and a point M inside the triangle such that MA^2MB^2+MC^2 . Draw an equilateral triangle ACD whe...
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1. Two bisector BD and CE of the triangle ABC intersect at O. Suppose that BD.CE = 2BO.OC . Denote by H the point in BC such that .\(OH⊥BC\) . Prove that AB.AC = 2HB.HC
2. Given a trapezoid ABCD with the based edges BC=3cm , DA=6cm ( AD//BC ). Then the length of the line EF ( \(E\in AB,F\in CD\) and EF // AD ) through the intersection point M of AC and BD is ............... ?
3. Let ABC be an equilateral triangle and a point M inside the triangle such that \(MA^2=MB^2+MC^2\) . Draw an equilateral triangle ACD where \(D\ne B\) . Let the point N inside \(\Delta ACD\) such that AMN is an equilateral triangle. Determine \(\widehat{BMC}\) ?
4. Given an isosceles triangle ABC at A. Draw ray Cx being perpendicular to CA, BE perpendicular to Cx \(\left(E\in Cx\right)\) . Let M be the midpoint of BE, and D be the intersection point of AM and Cx. Prove that \(BD⊥BC\)
Given a square with the length of one side is 8 cm and a isosceles triangle with the length of its base is 12 cm. If the area of the square is equal to the area of the isosceles triangle then what is the length of the height of the isosceles triangle, in cm?
In a triangle of area 100cm2 , the ratio between the length of one side and the corresponding height is 1:2.
What is the length of the height, in m?
Answer: The height is...m.
(write your answer by decimal in simplest form)
Give the triangle ABC and the bisector BD, AB = 5cm, CB = 7cm. If the length of AD is 1cm less than the length of CD then the length of AC is ....... cm.
the length and width of a rectangle are in the ratio of 5:12. If its rectangle has an area of 240 square centimeters then what is the length in centimeters of its diagonal?