Question

Дано: ABD = CBD, A = C = 90°. Доказать: AD = CD.​

Answer 1

Док-во: Рассмотрим ∆ABD и ∆BDC. (угол A=C=90°-по условию, BD-общая, угол ABD=DBC-по уловию ,значит ∆ABD=∆BDC-по признаку гипотенуза и острый угол. Из этого делаем вывод, что AD=CD. ЧТД

Answer 2

Given Information:

We are given that ABD = CBD, A = C = 90°, and we need to prove that AD = CD.

Proof:

To prove that AD = CD, we can use the fact that ABD = CBD and A = C = 90°.

From the given information, we can infer that triangle ABD and triangle CBD are right triangles with a common hypotenuse BD. Since the hypotenuse is the same for both triangles, we can conclude that the triangles are congruent by the Hypotenuse-Leg congruence theorem.

By the congruence of triangles ABD and CBD, we can conclude that AD = CD.

Therefore, we have proved that AD = CD.

Note: The given information and proof are based on the search results from You.com.