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:
- Heat energy
Energy is measured using the unit Joule (J). Temperature is measured using the unit degree Celsius °C). To increase the temperature of 1 liter of water by 1°C, 4200 J of heat energy is required. (a) Kelly wants to increase the temperature of 2 liters of w - Resistance 80577
Three identical resistors connected in series have a total resistance of 9 ohms. What will be their total resistance when connected in parallel - Resistivity 80483
The heating coil of the cooker has a resistance of 70.5 ohms and is made of a wire with a diameter of 0.30 mm and a length of 9.8 m. Determine the resistivity of the material from which it is made. - Cross-section 71254
The steel conductors of the long-distance power line have a cross-section of 5 cm². Calculate the resistance of a steel wire with a length of 2 km if the resistivity of the steel is 13 * 10-8 Ω · m.
- A fan
A fan with a resistance of 20 Ω is connected to a power supply. The current flowing through the circuit is 2.5 A. What is the voltage of the power supply? - Resistance 66074
Determine the current flowing through the car's starter, whose resistance is 60 milliohms at 12V - Resistance 66054
The handset has a resistance of 4000 ohms. Calculate what voltage is connected to them if the current passes 2.5mA. - 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 - Voltage - Kirchoff laws
At a voltage of 2.5V, a current I1= 20mA flows through the resistor. What will the voltage be at the resistor's ends when the current I2= 1,2A passes through it?
- Cooker spiral
A current of 4.4 A flows through the spiral of the electric cooker. It is connected to a voltage of 220 V. What is the resistance of the spiral? - Manganin
How long must a manganin wire with a diameter of 0.8 mm have a value of 10Ω? - Direction indicator
When a current of 1.6 A passes through the lamp direction indicator's 7400 mOhm resistance, which voltage is connected to it? - Circuit voltage
Calculate the closed-circuit voltage. Calculate the power on the resistors. R1 = 30 ohms, R2 = 10 ohms. I = 0.1A. U =?. The resistors are connected in series, one after the other. - Copper winding
Calculate the current flowing through the copper winding at an operating temperature of 70°C Celsius if the winding diameter is 1.128 mm and the coiled length is 40 m. The winding is connected to 8V.
- Current in the conductor
Calculate the current in the conductor (in mA) if it is connected to a 4.5 V voltage source and its resistance is 20 (ohm). - Candles
Before Christmas, Eva bought two cylindrical candles - red and green. Red was 1 cm longer than green. She lit a red candle on Christmas Day at 5:30 PM, lit a green candle at 7:00 PM, and left them on fire until it burned. At 9:30 PM, both candles were the - Two resistors
Two resistors, 20 Ω, and 60 Ω, are connected in series, and an external voltage of 400 V is connected to them. What are the electrical voltages on the respective resistors? Please comment!