Choose the suitable number to fill in the blank. “I am an equilateral triangle. I am a triangle with ____ equal sides.”
I the xentroid of an equilateral triangle equidistant from its three sides?why?
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Is the centroid of an equilateral triangle equidistant from its three sides ?why?
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 \(BD⊥BC\)
Give an equilateral triangle with each side 9cm. Find the area of this triangle.
A certain number of fifty-cent coins is to from an equilateral triangle. The same number of fifty-cent coins can also be used to from a square. The number of fiftty-cent coins on each side of the square is 6 fewer than the number of fifty-cent coins on each side of the equilateral traingle. How many fifty-cent coins are there altogether?
VIII. Read and fill in the blank with one suitable word to complete the passage. Then circle T (True) or F (False).
I am going (1 )............................... Hoi An for this summer vacation. People say that the weather in Hoi An is very nice. The people there are really kind (2).............................. friendly. The ancient town of Hoi An is on the river Thu Bon, more than 30 kilometres to the south of Da Nang.
Hoi An is famous (3).............................. old temples, pagodas, filed-roof houses and narrow streets. Tourists can visit the relics of Sa Huynh and Cham civilization. They can also (4) .............................. the beautiful scenery of the river Thu Bon, Cua Dai beach, ect. In recent years, Hoi An has become a very popular tourist destination in Viet Nam. Hoi An was known (5) .....................................a world heritage site in 1999.
*. Circle T (True) or F (False)
1.______ The writer is going to Hue for this summer vacation.
2. ______ Hoi An is the ancient town.
3. ______ It is famous for high building.
4. ______ Tourists can visit old temples, pagodas and tiled-roof houses here.
5. ______Hoi An was recognized as a world Heritage site in 1999.
An equilateral triangle with the measure of its side is 6 cm. The area of the triangle is \(\sqrt{m}\) \(cm^2\). Find m
A square and a triangle have equal perimeters. The lengths of three sides of the triangle are 6.2cm, 8.3cm and 9.5cm. The area of the square is...
Perimeters of a triangle is: 6.2+8.3+9.5=24cm
But a square and a triangle have equal perimeters
⇒Perimeters of a square is 24cm
So: the side of a square=\(\dfrac{24}{4}\)=6
Other way: the area of a square=a.a
⇔Ssquare=6*6=36 (cm2)
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?