In RT △ ABC, ∠ C = 90 °, ab = 5cm, AC = 4cm, BC = 3cm, the height on the edge of AB is
If the triangle area is fixed, the area calculated by the two methods should be equal: 0.5bc * AC = 0.5ab * D (D is the height of AB) to get d = 2.4cm
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- 1. 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
- 2. 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.
- 3. 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
- 4. 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
- 5. 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
- 6. 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
- 7. 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
- 8. 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
- 9. As shown in the figure, in △ ABC, am and cm are bisectors of angles respectively. Through M, make de ‖ AC. verify: AD + CE = De
- 10. 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___ .
- 11. 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
- 12. 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
- 13. 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
- 14. 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______ .
- 15. BD is the bisector of angle ABC, De is perpendicular to e, ab = 46, BC = 24, s △ ABC = 144
- 16. 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______ .
- 17. In the regular triangular pyramid p-abc, e f is the midpoint of the side edges Pb and BC respectively, and AE ⊥ EF, PA = root 2 to calculate the volume
- 18. AB is the diameter of circle O, C is the point on circle O, PA is perpendicular to the plane of circle O, AE is perpendicular to Pb is perpendicular to e, AF is perpendicular to PC is perpendicular to F Let PA = root 3 and AC = 1 to find the distance between point a and PCB
- 19. It is known that PA is perpendicular to the plane of circle O, AB is the diameter of circle O, C is any point on circle O, and AE is perpendicular to PC through a Results: AE was perpendicular to the plane of PBC
- 20. A mathematical problem: PA is known to be perpendicular to the plane where the circle O lies, AB is the diameter of the circle O, C is any point on the circle O, make AE through a, and make PC perpendicular to E A mathematical problem: we know the plane where PA is perpendicular to circle O, AB is the diameter of circle O, C is any point on circle O, make AE perpendicular to PC through a, and prove that AE is perpendicular to plane PBC