Question

Доказать что треугольник MNP подобен треугольнику CDE MN=7,5см MP=4,5см PN=6см DE=24см CD=30см EC=18см Помогите пожалуйста

Answer 1

Противолежащие стороны равны.

Answer 2

Triangle Similarity Proof: MNP and CDE

To prove that triangle MNP is similar to triangle CDE, we need to show that their corresponding angles are equal and their corresponding sides are proportional.

Given: - MN = 7.5 cm - MP = 4.5 cm - PN = 6 cm - DE = 24 cm - CD = 30 cm - EC = 18 cm

To begin, let's compare the corresponding sides of the two triangles:

1. MN/CD = MP/DE - Substituting the given values, we have 7.5/30 = 4.5/24 - Simplifying, we get 0.25 = 0.1875

2. MP/EC = PN/DE - Substituting the given values, we have 4.5/18 = 6/24 - Simplifying, we get 0.25 = 0.25

From the above calculations, we can see that the ratios of the corresponding sides of the two triangles are equal.

Next, let's compare the corresponding angles of the two triangles:

1. Angle M = Angle C 2. Angle N = Angle D 3. Angle P = Angle E

Since the corresponding angles of the two triangles are equal, we can conclude that triangle MNP is similar to triangle CDE.

In conclusion, triangle MNP is similar to triangle CDE based on the given side lengths and angle measurements.

Please let me know if there's anything else I can help you with!