The side length of equilateral △ ABC is a, and the area of inscribed square defg of its inscribed circle is obtained
If the side length of equilateral △ ABC is a, ∵ point O is the inner part of △ ABC, ∵ OE ⊥ AB, AE = be = A2, ∠ EAO = 30 °, ∵ OE = AE · Tan ∠ EAO = 36a, then the side length of the square is 2oe · cos45 ° = 2 × 22oe = 2 × 22 × 36a = 66A. Then the area of the square is 16a2
RELATED INFORMATIONS
- 1. In RT △ ABC, a = 30.01, ∠ B = 80 ° 24 'and ∠ C = 90 °, right triangle can be solved according to the following conditions
- 2. In RT △ ABC, ∠ C = 90 °, a right triangle is solved by the following conditions (1) If we know that a = 4 times radical 3, B = 2 times radical 3, then C =? (2) If a = 10, C = 10 times the root 2, then ∠ B =? (3) If C = 20 and a = 60 ° are known, then a =? (4) If B = 35 and a = 45 ° are known, then a =?
- 3. As shown in the figure, ab = De, AC ∥ DF, BC ∥ EF
- 4. In △ ABC, ab = AC, points D, e and F are on the sides of AB, BC and AC respectively, de = DF,
- 5. In the triangle ABC, ab = AC, points D, e and F are on the sides of AB, BC and AC respectively. De = DF and EDF = angle a are known. Find out the similar triangles in the graph and prove them
- 6. It is known that: as shown in the figure, in △ ABC, ∠ B = ∠ C, points D, e and F are points on edges BC, AB and AC respectively, be = CD, connecting de and DF, with ∠ EDF = ∠ C, then are de and DF equal? Try to explain the reason
- 7. It is known that: as shown in the figure, in △ ABC, ∠ B = ∠ C, points D, e and F are points on edges BC, AB and AC respectively, be = CD, connecting de and DF, with ∠ EDF = ∠ C, then are de and DF equal? Try to explain the reason
- 8. As shown in the figure, △ ABC, D is the midpoint of BC, e and F are two points on the edge of AB and AC respectively, ed ⊥ FD, which proves that be + CF > EF
- 9. As shown in the figure, in △ ABC, BD bisects ∠ ABC, de ‖ BC intersects AB at point E, EF ‖ AC intersects BC at point F. try to guess the size relationship between be and CF, and explain the reasons, as shown in figure.doc
- 10. In △ ABC, ab = AC, D is a point on BC, de ⊥ AB and E, DF ⊥ BC, intersection AC and F, ∠ AFD = 160 °, find the degree of ∠ A and ∠ EDF RT
- 11. The square defg is the inscribed square of △ ABC, D is on ab. G is on AC, e and F are on BC, am ⊥ BC is on M, intersecting DG is on H. if ah is 4 and the side length of the square is 6, the length of BC is calculated
- 12. As shown in the figure, the area of triangle ABC is 120 square centimeters, D is the midpoint of BC & nbsp;, AE = 13be, EF = 12fd, then the area of triangle AFD is______ Square centimeter
- 13. Draw a rectangular piece of land on the plan with a scale of 1:200. The circumference of the rectangle on the plan is 54 cm, Draw a rectangular piece of land on the plan with a scale of 1:200. The perimeter of the rectangle is 54 cm and the ratio of length to width is 5:4. Calculate the actual area of the rectangular land
- 14. Xiaoming's father drew a 1:200 scale plan for a site and asked Xiaoming, "do you know how many times the actual area of the site is the size of the plan
- 15. Move the square with an area of 64 square centimeters on the plan with a scale of 1:250 to the plan with a scale of 100 square centimeters?
- 16. Master Zhao measured a rectangular teacher's room on a 1:500 scale plan. It is 4cm long and 2cm wide 1: Find the area on the map and the actual area of this classroom 2: write the ratio of the area on the map and the actual area, and compare it with the scale. What do you find?
- 17. On the plan with a scale of 1; 100, it is measured that Xiaolan's bedroom is 4cm long and 3cm wide; what is the actual distance between Xiaolan's bedroom Who knows
- 18. Divide a 3 / 4 meter rope into 5 parts. How many meters is each part and how many parts of the total length is each part?
- 19. Divide the 2-meter-long rope into 5 sections. How many parts of the total length is each section? How many meters is each section?
- 20. Divide a 4-meter rope into 5 equal parts, each of which is long______ Each piece is full length (& nbsp; & nbsp; & nbsp;) (& nbsp; & nbsp;)