Rhombus construction
Construct ABCD rhombus if its diagonal AC=9 cm and side AB = 6 cm. Inscribe a circle in it, touching all sides.
Correct answer:
Showing 2 comments:
Dr Math
1. draw line segment AB = 6 cm
2. draw circle k1 (B, r=6 cm)
2. draw circle k2 (A, r=9 cm)
4. point C is intersect k1 and k2
5. draw line u2 from B perpendicular to AC
6. draw circle k3 (A, r=6 cm)
7. point D is intersect k3 and line u2
8. connect points ABCD to rhombus
9. point S is intersect of AC diagonal and BD diagonal
10. make perpendicular line u3 from S to AB.
11. draw inswribed circle with center S and radius SX, X is intersection of u3 and AB
2. draw circle k1 (B, r=6 cm)
2. draw circle k2 (A, r=9 cm)
4. point C is intersect k1 and k2
5. draw line u2 from B perpendicular to AC
6. draw circle k3 (A, r=6 cm)
7. point D is intersect k3 and line u2
8. connect points ABCD to rhombus
9. point S is intersect of AC diagonal and BD diagonal
10. make perpendicular line u3 from S to AB.
11. draw inswribed circle with center S and radius SX, X is intersection of u3 and AB
Dr Math
another steps:
1. Draw AC = 9cm horizontally.
2. With A as center and AB =6cm as radius, draw arcs above and below AC.
3. With C as center and AB as radius, draw arcs to cut the earlier arcs.
4. Intersection points are B and D.
5. Join all sides.
6. Draw BD. The intersection of AC AND BD is O , the center of the incircle.
7. Draw an arc with O as center and OB as radius to cut BC at E.
8. Draw perpendicular bisector of BE. It passes through O. Mid point of BE is F.
9. OF as radius and O as center draw the incircle.
1. Draw AC = 9cm horizontally.
2. With A as center and AB =6cm as radius, draw arcs above and below AC.
3. With C as center and AB as radius, draw arcs to cut the earlier arcs.
4. Intersection points are B and D.
5. Join all sides.
6. Draw BD. The intersection of AC AND BD is O , the center of the incircle.
7. Draw an arc with O as center and OB as radius to cut BC at E.
8. Draw perpendicular bisector of BE. It passes through O. Mid point of BE is F.
9. OF as radius and O as center draw the incircle.
You need to know the following knowledge to solve this word math problem:
Themes, topics:
Grade of the word problem:
Related math problems and questions:
- Construct rhombus
Construct rhombus ABCD if given diagonal length | AC | = 8cm, inscribed circle radius r = 1.5cm - Construct
Construct a rhombus ABCD if the size of the diagonal AC is 6 cm and the diagonal BD is 8 cm long. - Rhombus MATH
Construct a rhombus M A T H with diagonal MT=4cm, angle MAT=120° - Rhombus EFGH
Construct the rhombus EFGH where e = 6.7cm, height to side h: vh = 5cm
- The sum graphically
Draw a graphical sum of all sides of 4-gon ABCD. - Rhombus 36
Rhombus ABCD with side 8 cm long has diagonal BD 11.3 cm long. Find angle DAB. - Quadrilateral 82616
Triangle ABC is divided into line segments. Lines DE and AB are parallel. Triangles CDH, CHI, CIE, and FIH have the same area, namely 8 dm². Find the content of quadrilateral AFHD. - RST triangle
Find out if it is possible to construct the given triangle and according to which theorem: RS = 2.5 cm ST = 7 cm TR = 4.5 cm - Prove 2
Prove that the minimum number of straight single cuts/strokes needs to divide a given right-angled triangle or an obtuse-angled triangle into a collection of all acute-angled triangles is seven(7).
- Sss triangle 2
Construct triangle ABC in which |AB|=5cm, |AC|=6cm and |BC|=9cm - The perimeter
The perimeter of a rhombus whose diagonal lengths are in the ratio 3:4 is 40 cm. What is its area in cm²? - Triangle 73464
The given line is a BC length of 6 cm. Construct a triangle so that the BAC angle is 50° and the height to the side is 5.5 cm. Thank you very much. - The diagonal 4
The diagonal of a rhombus measures 16 cm and 30 cm. Find its perimeter. - Trapezoid 70454
Construct a trapezoid ABCD (AB // CD): | AB | = 7cm | BC | = 3.5cm | CD | = 4cm The magnitude of the angle ABC = 60°
- A rhombus 3
A rhombus has a side length of 6 centimeters and a height of 2 centimeters. What is the area of the rhombus in centimeters square? - Shortest walk
An ant is crawling around this cube. The cube is made of wire. Each side of the cube is 3 inches long. (Those sides are called edges.) Points A and B are vertices of the cube. What is the least distance the ant would have to crawl if it starts from point - Book Store
The Mabini Book Store (MBS) is reducing the prices of Mathematics books for promotion. The store has 6 Algebra books, 6 Geometry books, and 5 Statistics books to be arranged on a shelf. Books of the same kind are to be placed beside each other. How many w