In the figure drawn below, triangle ABC is an equilateral triangle inscribed in a semicircle centered at O, of radius 1, for which AO is perpendicular to the base of the semicircle. Find the radius of the circle approximately which is tangent to AC, CD, and the semicircle.
0.20
0.25
0.30
0.35
Find the obtuse angle ÐABD, if area of triangle ABD, as shown in figure, is 8.75 cm2.
that's √2xy in last 3rd line
What is the length of BC in right traingle ABC if AD is peroendicular to BC and AD=4 and BD=6
Alternative approach :
AD^2 = BD x DC
4^2 = 6 x DC
DC = 16/6 = 8/3
AC = AD + DC = 8/3 + 6 = 26/3
How many 8cm by 8cm tiles would it take to completely tile the floor of a 44m by 52m room?
In circle O, chords AB and CD intersect at right angles at E. If AE=20 EB=36 and CE=24 what is the perimeter of circle
In a circle, AB is a diameter. Chords CD and EF are perpendicular to AB. The lengths AP, PQ, and QB are5,7,9respectively. Determine the sum of CP and EQ.
a) 4√5+2√3
b)2√5+12√3
c)4√5+6√3
d) √5+√3
The smallest angle of a rhombus is half the measure of the larger angle. Tthe shorter diagonal is 20cm. Determine the perimeter of rhombus.
A) 40
B)60
C)80
D)100
Determine the area under the archway that was constructed on a straight base AB whose length is 4feet and with circular arcs AC and AB.
A) 16π/3
B) 16π/3-4√3
C)8π/3
D)16π/3+4
If side of square is 3 what is the area of circle?
In equilateral triangle ABC with side 16. If ADis perpendicular to BC and AE is congruent to ED then BE=?
AD ( Altitude of the triangle ) = AB sqrt{3}/2
AD = 16sqrt{3}/2 = 8sqrt 3
AE = ED = 4 sqrt{3}
BE = sqrt { DE^2 + BD^2 } = sqrt {[ 8^2 + 4(sqrt3)^2 ]
In a trapezoid AD=65,BC=52 ,AB=12abd CD=5. What is the area of traoezoid.
The sum of length of three sides of a right angle triangle is 26. The sum of squares of the lengths of three sides is 288.determine the area of triangle.
A)13
B)15
C)18
D)26