Diagonal + angle - practice problems - page 4 of 6
Number of problems found: 118
- Parallelogram diagonal size
Given is the parallelogram KLMN, in which we know the side sizes/KL/ = a = 84.5 cm, /KN/ = 47.8 cm, and the angle size at the vertex K 56°40'. Calculate the size of the diagonals. - Perpendicular sides
In the ABCDEFGHIJKL, the two adjacent sides are perpendicular to each other, and all sides except the AL and GF sides are identical. The AL and GF sides are twice as long as the other sides. The lines BG and EL intersect at point M. The quadrilateral ABMJ - Quadrilateral triangle segment
The quadrilateral ABCD is symmetrical about the diagonal AC. The length of AC is 12 cm, the length of BC is 6 cm, and the interior angle at vertex B is right. points E and F are given on the sides AB, and AD so that the triangle ECF is equilateral. Determ - Inaccessible direct
Determine the distance between two inaccessible places P, Q, if the distance between two observation points A, B is 2000 m and if you know the size of the angles QAB = 52°40''; PBA = 42°01''; PAB = 86°40'' and QBA = 81°15''. The considered locations A, B, - Diagonals at right angle
In the trapezoid ABCD, this is given: AB=12 cm CD=4 cm And diagonals crossed under a right angle. What is the area of this trapezoid ABCD? - Rhombus MATH
Construct a rhombus M A T H with diagonal MT=4 cm, angle MAT=120° - General trapezoid
In general trapezoid VLAK, the following are given: |VL| = 5.5 cm; |VK| = 3.5 cm; |LK| = 4.8 cm; |∠VLA| = 70°. Divide it into two triangles by drawing a diagonal. Label the newly created points. Write down the lengths of the line segments. Complete the co - Rectangular trapezoid
The ABCD rectangular trapezoid with the AB and CD bases is divided by the diagonal AC into two equilateral rectangular triangles. The length of the diagonal AC is 62 cm. Calculate the trapezium area in cm square and calculate how many different perimeters - Forces
Forces with magnitudes F1 = 42 N and F2 = 35 N act at a common point and make an angle of 77°12'. How big is their resultant? - Rhombus construct
Construct parallelogram (rhombus) ABCD, | AB | = 4 cm alpha = 30° and | BD | = 5 cm. - Hexagonal prism angle
The given is a regular hexagonal prism ABCDEFGHIJKL, which has all edges of the same length. Find the degree of the angle formed by the lines BK and CL in degrees. - Rectangular trapezoid ZIMA
I have a rectangular trapezoid ZIMA (the right angle at the top of Z. ZIMA = winter in English) ZI-7 cm, ZM-5 cm, AM-3.5 cm, and we have to write the procedure to construct this trapezoid. - Trapezium diagonals
It is given trapezium ABCD with bases | AB | = 12 cm, |CD| = 8 cm. Point S is the intersection of the diagonals for which |AS| is 6 cm long. Calculate the length of the full diagonal AC. - Parallelogram diagonal construction Construct a parallelogram ABCD if a=5 cm, height to side a is 5 cm, and angle ASB = 120 degrees. S is the intersection of the diagonals.
- Area of iso-trap
Find the area of an isosceles trapezoid if the lengths of its bases are 16 cm and 30 cm and the and the diagonals are perpendicular to each other. - Diagonal in rectangle
In the ABCD rectangle is the center of BC, point E, and point F is the center of the CD. Prove that the lines AE and AF divide diagonal BD into three equal parts. - Clock quadrilateral angle
Calculate the magnitude of the largest inner angle and the deviation of the diagonals in the quadrilateral, whose vertices correspond to points 1, 5, 8, and 12 on the dial. - Quadrilateral ABCD
Construct a quadrilateral ABCD with diagonals AC = e = 7 cm, BD = f = 6.2 cm, d = 4.3 cm, a = 5.3 cm and β = 125° - Quadrilateral 2
Show that the quadrilateral with vertices A(0,1), B(4,2), C(3,6) D(-5,4) has two right triangles. - Rhombus
ABCD is a rhombus, ABD is an equilateral triangle, and AC is equal to 4. Find the area of the rhombus.
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