Question

Дан прямоугольник ABCDпроведена биссектриса AC? сторона BC=15 cм. Надо найти AB, и биссектрису AC/

Answer 1

Так как это прямоугольник,а АС биссектриса, то из ∆АВС
Угол А=углу С=45°
АВ=ВС=15
АС= 15√2 см

Answer 2

Finding the Length of AB and the Bisector AC

To find the length of AB and the bisector AC in the given rectangle ABCD with the bisector AC and side BC = 15 cm, we can use the information provided in the search results.

The search results provide the following relevant information: - AB = 15, BC = 12, AC = 18- AB = c, BC = a, AC = b Using the given information, we can calculate the length of AB and the bisector AC.

Calculating the Length of AB

According to the search results, we have the following information: - AB = 15 - BC = 15

We can use the Pythagorean theorem to find the length of AB: - AB^2 + BC^2 = AC^2

Substitute the known values: - 15^2 + 15^2 = AC^2 - 225 + 225 = AC^2 - 450 = AC^2 - AC = √450 - AC ≈ 21.21 cm

So, the length of AB is approximately 21.21 cm.

Calculating the Bisector AC

The bisector AC can be calculated using the formula provided in the search results: - AB = c, BC = a, AC = b

Using the given values: - AB = 15, BC = 15, AC = 21.21

We can use the formula to calculate the bisector AC: - AC^2 = (AB * BC) / (AB + BC)

Substitute the known values: - AC^2 = (15 * 15) / (15 + 15) - AC^2 = 225 / 30 - AC^2 = 7.5 - AC = √7.5 - AC ≈ 2.74 cm

So, the length of the bisector AC is approximately 2.74 cm.

Therefore, the length of AB is approximately 21.21 cm and the length of the bisector AC is approximately 2.74 cm.