Question

In the given figure, AD is the median ,then find ∠BCA (pls help)​

Answer 1

∠BCA = 35

As Trainagle ABC is a Isoseles triangle, AB=AC,

So the base angles are equal

i.e. ∠ABC = ∠BCA = 35 degrees

Answer 2

Final Answer:

With respect to the adjoining figure of triangle $\triangle ABC$, where AD is the median, $AB=AC$, and $\angle ABC=35\textdegree$ the correct value of the angle $\angle BCA$ is $35 \textdegree$.

Given:

There is the adjoining figure of triangle $\triangle ABC$, where AD is the median, $AB=AC$, and the value of the angle $\angle ABC$ is $35 \textdegree$.

To Find:

The value of the angle $\angle BCA$ from the adjoining figure of triangle $\triangle ABC$.

Explanation:

Any triangle is a closed geometric shape displaying three sides and three vertices such that the sum of their interior angles is equal to two right angles.

Any count of triangles can be congruent to each other when they follow the following congruencies.

• SSS or side-side-side congruency
• SAS or side-angle-side congruency
• AAS or angle-angle-side congruency
• RHS or right (angle)-hypotenuse-side congruency

Step 1 of 3

In the triangle $\triangle ABC$, since AD is the median, it cuts the opposite side into two equal parts.

$BD=DC$

Step 2 of 3

Now, in the triangles $\triangle ADB$ and $\triangle ADC$, note the following points.$AB=AC\;\;\;\; [Given]\\AD\; is\; common\\BD=DC\;\;\;\;[Derived\; above]$

Thus, the triangles $\triangle ADB$ and $\triangle ADC$ are congruent to each other by SSS congruency.

Step 3 of 3

The corresponding angles of the congruent triangles $\triangle ADB$ and $\triangle ADC$ are equal to each other.

So, $\angle ABD=\angle ACD\\\angle ABC=\angle ACB\\\angle BCA=\angle ABC=35\textdegree$

Therefore, from the adjoining figure of triangle $\triangle ABC$, where AD is the median, $\angle ABC=35\textdegree$, and $AB=AC$, the required value of the angle $\angle BCA$ is $35 \textdegree$.

Know more about triangles from the following links.

https://brainly.in/question/54893090

https://brainly.in/question/43660494

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