Geometry Problem Solver

The deltoid

They give the tracks some problems can be solved automatically, the numerical values do not matter in the various examples.

Track 1

The two diagonals of a deltoid measure 30 cm and 40 cm respectively. Calculate the area of the deltoid.

Track 2

The sum of the diagonals of a deltoid measure 68 cm and their ratio is 5/12. Calculate the area of the deltoid.

Track 3

The sides of a deltoid measure respectively 26 cm and 30 cm. Calculate the perimeter of the deltoid.

Track 4

A deltoid has a side of 30 cm, and the perimeter of 112 cm. Calculate the other side of the deltoid.

Track 5

A deltoid has a side of 26 cm and 48 cm respectively diagonal and 42 cm. Calculate the perimeter and area of the deltoid.

Track 6

The angle formed by the tangents BPA PA and PB conducted by a point P outside the circle of center O and radius 50 cm, is 45 °. Determines the width of the other corners of the quadrilateral PAOB.

Track 7

From an external point P to a circle with center O and radius 50 cm, the two track segments tangent PA and PB and consider the quadrilateral PAOB. Knowing that the angle O is 135 °, what are the amplitudes of the other corners of the quadrilateral ?

Track 8

From an external point P to a circle with center O and radius 50 cm, the two track segments tangent PA and PB and P merge with the center O. Knowing that the BPO is wide angle 22.5 °, what are the magnitudes of the angles of the quadrilateral ?

Track 9

Draw a circle with center O and radius 50 cm long and a point P outside the circle, trace the two tangent segments PA and PB. Knowing that the PO segment is 130 cm, calculate the perimeter and area of the quadrilateral PAOB.

Track 10

Draw a circle with center O, a point P outside the circle, trace the two tangent segments PA and PB. Knowing that the PO segment is 130 cm and the PA segment is 120 cm, calculate the perimeter and area of the quadrilateral PAOB.

Track 11

Draw from the point P outside to the circle the tangents PA and PB and join the center O with the points of tangency A and B; you get the quadrilateral APBO. Knowing that the PA segment is 120 cm and the perimeter of the quadrilateral is 340 cm, calculate:
the circumference;
the area of the circle;
the area of the quadrilateral;
the area of the triangle BOA;
the area of the triangle BPA;
the area of the circular sector subtended by the chord AB;
the central angle AOB.

Track 12

Leading by a point P outside a circle with center O and radius 50 cm, the two tangent segments PA and PB, we get the quadrilateral PAOB area of 6000 cm ². Calculate :
the distance of the point P from the center;
the perimeter of the quadrilateral;
the central angle AOB;
the area of the circular sector subtended by the chord AB.

Track 13

Leading by a point P outside a circle with center O and radius 50 cm, the two tangent segments PA and PB, we get the quadrilateral PAOB. Knowing that the segment AB is 92.307 cm long, Calculate :
the area of the quadrilateral;
the perimeter of the quadrilateral;
the central angle AOB;
the area of the sector subtended by the circular chord AB.

Track 14

A deltoid has an area of 672 cm² and the diagonals are to one another in the ratio of 7/12. Calculate the perimeter of the deltoid knowing that one side is 26 cm long.

Track 15

A deltoid has the long sides 26 cm and 30 cm respectively. Calculate the area of the deltoid knowing that a diagonal is 48 cm long.

Track 16

A deltoid has an area of 672 cm ². Calculate the other diagonal knowing that a diagonal is 48 cm long.

Track 17

A deltoid has an area of 672 square centimeters and the perimeter of 112 cm. Calculate the radius of the circle inscribed in the deltoid knowing that one side is 26 cm long.

Track 18

Draw a deltoid having sides respectively of 26 and 30 cm and a diagonal of 48 cm.