In triangle ABC, Pb is vertical to AB, PR is vertical to BC, PS is vertical to AC, and PQ = 6, PR = 8, PS = 10 Q. R and s are on three sides

In triangle ABC, Pb is vertical to AB, PR is vertical to BC, PS is vertical to AC, and PQ = 6, PR = 8, PS = 10 Q. R and s are on three sides

No solution, no solution

Known: as shown in the figure, the two diagonal lines AC and BD of rectangle ABCD intersect at the point O, ∠ AOD = 120 ° AB = 2.5cm. Find the length of the diagonal line of rectangle and the area of rectangle

∵∠ AOD = 120 °, ∵ AOB = 180-120 ° = 60 °, ∵ quadrilateral ABCD is rectangle, ∵ ABC = 90 °, AC = BD, OA = OC = 12ac, OB = od = 12bd, ∵ OA = ob, ∵ AOB = 60 °, ∵ AOB is equilateral triangle, ∵ AB = 2.5cm, ∵ OA = ob = AB = 2.5, ∵ AC = 2ao = 5, BD = AC = 5. In right angle △ ABC, BC = ac2 − AB2 = 532, the area of rectangle is: ab · BC = 2.5 × 532 = 2534

As shown in the figure, in rectangular ABCD, the diagonal lines AC and BD intersect at point O, and it is known that ∠ AOD = 120 ° AB = 4, then the length of AC is______ ．

In rectangular ABCD, OA = ob = OC, equilateral triangle of ∧ △ AOB, OA = AB = 4, AC = OA + OC = 4 + 4 = 8

It is known that: as shown in the figure, the diagonal lines AC and BD of rectangle ABCD intersect at point O, ∠ AOD = 120 ° AB = 5cm, then the length of rectangle diagonal line is______ cm．

∵∠ AOD = 120 °, ∵ AOB = 180-120 ° = 60 °, ∵ quadrilateral ABCD is rectangle, ∵ ABC = 90 °, AC = BD, OA = OC = 12ac, OB = od = 12bd, ∵ OA = ob, ∵ AOB = 60 °, ∵ AOB is equilateral triangle, ∵ AB = 5cm, ∵ OA = ob = AB = 5, ∵ AC = 2ao = 10, BD = AC = 10