As shown in the figure: in △ ABC, ∠ C = 90 ° ad bisection ∠ cab intersects BC at point D, ab = 10, AC = 6, find the distance from D to ab
Let de ⊥ AB, e be the perpendicular foot, and de be the distance from D to ab. in △ ABC, ⊥ C = 90 °, ab = 10, ⊥ AC = 6, ⊥ BC = 8, let CD = x, then de = CD = x, BD = 8-x. in RT △ ACD and RT △ AED, ⊥ CD = edad = ad, ≌ RT △ ACD ≌ RT △ AED
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- 1. As shown in the figure, in △ ABC, ∠ C = 90 degrees, ad is the bisector of ∠ cab, CD = 4cm, then the distance from point d to AB is
- 2. It is known that in △ ABC, ∠ ACB = 90 ° AC = BC, the straight line Mn passes through point C, and ad ⊥ Mn is in D, be ⊥ Mn is in E
- 3. It is known that in △ ABC, ∠ ACB = 90 ° AC = BC, the straight line Mn passes through point C, and ad ⊥ Mn is in D, be ⊥ Mn is in E
- 4. As shown in the figure, in the RT triangle ABC, there are two moving points P and Q, which start from point C and move to a at 3cm / s along CB Ba and B at 4cm / s along CA ab. when one point reaches the end point, the two points stop moving at the same time If t exists, the area of triangle PCQ is half that of triangle ABC. If t does not exist, please explain why
- 5. As shown in the figure, in △ ABC, am and cm are bisectors of angles respectively. Through M, make de ‖ AC. verify: AD + CE = De
- 6. As shown in the figure, in positive △ ABC, points m and N are on AB and AC respectively, and an = BM, BN and cm intersect at point O. if s △ ABC = 7 and s △ OBC = 2, then bmba = 1___ .
- 7. It is known that in the triangle ABC, ad and be are the heights on the sides of BC and AC, respectively. A vertical line AB passing D intersects F, B is intersected g, and the extension line of AC intersects H
- 8. As shown in the figure, we know that D and E are two points on the side of AB and AC in △ ABC, ab = AC, please add another condition______ To make △ Abe ≌ △ ACD (just write one)
- 9. In triangle ABC, AC = BC, angle c = 90 degrees, points D and E are on BC and ab respectively, triangle ACD is congruent triangle AED
- 10. As shown in the figure, CD is the height on the hypotenuse of RT △ ABC, e is the midpoint of AC, and the extended line of ED intersects CB at point F. prove BD * CF = CD * DF
- 11. In the triangle ABC, the angle c is equal to 90 degrees, the bisector angle ad of the angle cab intersects the point D, BC-AC = 2, BD = 5, and the distance between the point D and ab is calculated? This is the eighth grade problem, did not learn Pythagorean theorem
- 12. As shown in the figure, in △ ABC, BD bisects ∠ ABC, and BD ⊥ AC intersects D, de ∥ BC intersects AB at E. AB = 5cm, AC = 2cm, then the perimeter of △ ade=______ cm.
- 13. As shown in the figure, in the triangle ABC, D is the midpoint of BC, ad is perpendicular to BC at point D, De is perpendicular to ab at point E, de = 5cm, calculate the distance from point d to AC
- 14. In RT △ ABC, ∠ C = 90 °, ab = 5cm, AC = 4cm, BC = 3cm, the height on the edge of AB is
- 15. It is known that in the right triangle ABC, C = 90 °, AC = 3cm, BC = 4cm, the midpoint of BC is O, Po ⊥ plane ABC, and Po = 5cm. Please tell me the detailed steps. I just learned solid geometry
- 16. If AC = 3cm, BC = 4cm, ab = 5cm, the distance from point d to the three sides is A.2.5cm B.2cm C.1.5cm D.1cm
- 17. In the triangle ABC, ∠ BCA = 90 ° and CD ⊥ AB is at point D. given AC = 3cm, BC = 4cm and ab = 5cm, what is the distance between point C and ab? RT The first answer is the best
- 18. As shown in the figure, BD is the bisector of ∠ ABC, de ⊥ AB is at point E, ab = 36cm, BC = 24cm, s △ ABC = 144cm, then the length of De is______ .
- 19. BD is the bisector of angle ABC, De is perpendicular to e, ab = 46, BC = 24, s △ ABC = 144
- 20. As shown in the figure, BD is the bisector of ∠ ABC, de ⊥ AB is at point E, ab = 36cm, BC = 24cm, s △ ABC = 144cm, then the length of De is______ .