As shown in the figure, CD is the height on the hypotenuse of RT △ ABC, the bisector of a intersects CD at h, and the bisector of BCD intersects G

It is proved that: connecting Fe, ∵ CD is the height on the hypotenuse of RT △ ABC, ∵ a = ∵ DCB, ∵ AE bisection ∵ a, CF bisection ∵ BCD, ∵ DCF = ∵ DAE, ∵ ahd = ∵ Che,

RELATED INFORMATIONS

1. In the triangle ABC, angle ACB = 90 degrees, angle B = 35 degrees, CD is the height of hypotenuse ab. find the best BCD and the degree of angle A
2. As shown in the figure, in the right angle △ ABC, CD is the height on the hypotenuse AB, ∠ BCD = 35 °, find: (1) the degree of ∠ EBC; (2) the degree of ∠ a
3. It is known that: as shown in the figure, one side De of rectangular defg is on the side BC of △ ABC, the vertices g and F are on the sides AB and AC respectively, ah is the height of the side BC, ah and GF intersect at the point K, BC = 12, ah = 6, EF: GF = 1:2 are known, and the perimeter of rectangular defg is calculated
4. In the triangle ABC, ad is the middle line on the edge of BC, ad bisects ∠ a, and makes de ⊥ AB, DF ⊥ AC through point D. prove: be = CF
5. RT △ ABC, ∠ a = 90 °, the bisector of ∠ B intersects AC at D, the vertical line from a as BC intersects BD at e, and the bisector from D as DF ⊥ BC
6. In △ ABC, ab = AC, ad ⊥ BC is at point D, and points E and F are the midpoint of AB and AC sides respectively. When △ ABC satisfies what conditions, the quadrilateral AEDF is a square
7. It is known that: as shown in the figure, in △ ABC, ∠ BCA = 90 °, D and E are the midpoint of AC and ab respectively, and point F is on the extension line of BC, and ∠ CDF = ∠ A. (1) prove that the quadrilateral decf is a parallelogram; (2) bcab = 35, the perimeter of quadrilateral ebfd is 22, and calculate the area of quadrilateral decf. (Note: the middle line on the hypotenuse of a right triangle is equal to half of the hypotenuse.)
8. If AB is 1:4 to de, the sum of the circumference of the equilateral triangle ABC and the square defg is 76 cm, what is the circumference of the triangle? AB is one side of an equilateral triangle, De is one side of a square,
9. The side length of equilateral triangle ABC is a, and the square defg is inscribed with △ ABC, D, E on AB, AC, G, f on BC respectively. Find the side length of square defg
10. As shown in the figure △ ABC, ∠ a = 90, de bisects AB vertically, intersects BC with EAB = 20, AC = 12, finds the length of be and the area of quadrilateral Adec
11. If BC = 32 and BD ∶ CD = 9 ∶ 7, then the distance between point D and ab is? 2. If y = 2, the distance between point D and ab is? 2 Please write down the process
12. In RT triangle ABC, ad is the middle line on hypotenuse BC. How to prove ad = 1 / 2BC?
13. AB is the diameter of ⊙ o, C is on ⊙ o, BP is the middle line of △ ABC, BC = 3, AC = 62, find the length of BP
14. As shown in the figure, in the isosceles right triangle ABC, ∠ ACB = 90 °, point D is the midpoint of BC, and the isosceles right triangle DCE is made with CD as the side, where the angle DCE = 90 ° CD = CE, link AE, the quantitative relationship between AE and BD, explain the reason
15. As shown in the figure, △ ABC, D is on AB, ad = BD = CD, de ∥ AC, DF ∥ BC
16. In triangle ABC, the bisector of AB = AC = 3 BC = 2 ∠ ABC intersects the parallel line of BC at d to find the area of triangle abd
17. As shown in the figure, go through the center of gravity o of △ ABC (the intersection of the three midlines) and make a parallel line of BC, intersecting AB at D and AC at E. then the area ratio of △ ade to △ ABC is () A. 1：2B. 2：3C. 1：3D. 4：9
18. Make parallel lines of AB, BC and AC respectively through a point P in the triangle ABC Drawing
19. As shown in the figure, in △ ABC, the points D and E are on the side of BC, and ∠ B = ∠ bad, ∠ C = ∠ CAE, BC = 8cm is known, find the perimeter, line and speed of ADE
20. It is known that in RT △ ABC, ∠ C = 90 ° CoSb = 23, then the value of SINB is () A. 253B. 53C. 255D. 55