As shown in the figure, in the linear triangle ABC, ∠ C = 90 °, BD is the angular bisector of △ ABC, be is the angular bisector of △ BDA, DF is the height of △ BDE
In △ BDF, ∠ FDB can be known, so ∠ DBF can be obtained;
∠DBF=∠EBA=1/2∠CBD;
So we can find ∠ a
Very basic Dongdong, spend time, online is useful
RELATED INFORMATIONS
- 1. In the triangle ABC, ab = AC, BD = DC, take any point E in ad to judge the relationship between be and EC
- 2. As shown in the figure, in △ ABC, point E is on AB, point D is on BC, BD = be, ∠ bad = ∠ BCE, ad and CE intersect at point F. try to judge the shape of △ AFC and explain the reason
- 3. It is known that, as shown in the figure, D is a point inside △ ABC connecting BD and ad, with BC as the edge, outside △ ABC, make ﹥ CBE = ﹥ abd, ﹥ BCE = ﹥ bad, be and CE cross to e, connecting de. (1) verification: bcab = bebd; (2) verification: ﹥ DBE ﹥ ABC
- 4. As shown in the figure, D is a point inside the triangle ABC, connecting BD and ad, taking BC as the edge, making an angle outside the triangle ABC, CBE = angle abd, BCE = angle bad, be, CE intersecting at point E, connecting de. prove that the triangle DBE is similar to the triangle ABC
- 5. As shown in the figure △ ABC, ad ⊥ BC, be ⊥ AC, BF = AC, if ∠ EBC = 25 °, then ∠ ACF=______ .
- 6. As shown in the figure △ ABC, ∠ BAC = 90 & ordm;, ad ⊥ BC, ∠ Abe = ∠ EBC, EF ⊥ BC, FM ⊥ AC, DF = FM
- 7. As shown in the figure, ad and be are the heights of BC and AC respectively in ABC
- 8. In triangle ABC, ad is perpendicular to BC and D, be is the middle line, and the angle EBC is 30 degrees
- 9. As shown in the figure, D is a point on side AC of triangle ABC, CD = 2ad, AE is perpendicular to BC and E, if BD = 8, Tan angle abd = 3 / 4, find the length of AC
- 10. As shown in the figure, make equilateral triangles △ abd, △ EBC, △ fac on the same side of BC with the three sides of △ ABC respectively, and prove that the quadrilateral ADEF is a parallelogram
- 11. The two right sides of a right triangle are 60cm and 80cm respectively
- 12. The two right sides of a right triangle are 60cm and 80cm respectively. How many square centimeters is its area? The hypotenuse of this triangle is 100cm long. How high is the hypotenuse?
- 13. The lengths of the two right sides of a right triangle are 60cm and 80cm respectively. Find the perimeter of the right triangle and the height on the hypotenuse,
- 14. The lengths of the two right sides of a right triangle are 60cm and 80cm respectively. Find the perimeter of the right triangle and the height on the hypotenuse
- 15. The perimeter of a right triangle is 60cm, the shortest side is 15cm, and the largest side is 15cm Second, given that the sum of the two right sides of a right triangle is 34 cm, and the difference between the two right sides is 14 cm, what is the area of the triangle?
- 16. The hypotenuse of a right triangle is 100cm, one is 60cm, and the other is 80cm. How high is the hypotenuse? Because I am only a primary school student.
- 17. The three sides of a right triangle are 3cm 4cm 5cm. The area of the triangle is the square of () cm, and the height of the hypotenuse is () cm?
- 18. The two right sides and hypotenuse of a right triangle are 3cm, 4cm and 5cm respectively?
- 19. The three sides of a right triangle are 3cm, 4cm and 5cm respectively. The height of its hypotenuse is () cm
- 20. A piece of hard paper of right triangle with two right sides of 5cm and 8cm respectively. The volume of three-dimensional figure can be obtained by rotating one right side of it as an axis The biggest is