Question

if in a triangle ABC, BC=CA and Angle A= 40° which is longer BC or AB

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Answer 1

Answer:

AB

Step-by-step explanation:

In ABC

BC=CA

➡ Angle A = angle B (by isosceles triangle property)

Therefore AB is the longest side

Answer 2

Given data : In a triangle ABC, BC = CA and Angle A = 40⁰.

To find : Which is longer BC or AB

Solution : Here, we know, a triangle in which two sides are equal is called an isosceles triangle.

Now,a/c to given data,

➜ ∠ A = 40⁰ ----{1}

The sum of the internal angles of all triangles is always 180.

Hence,

➜ ∠ A + ∠ B + ∠ C = 180⁰

Two sides of a triangle are equal, then the angles opposite to those sides are also equal.

Hence, a/c to figure;

∠ A = ∠ B

Hence, the measure of ∠ A and ∠ B is 40⁰

Now,

➜ ∠ A + ∠ B + ∠ C = 180⁰

➜ 40 + 40 + ∠ C = 180⁰

➜ 80 + ∠ C = 180⁰

➜ ∠ C = 180 - 80

➜ ∠ C = 100

Hence, ∠ C = 100⁰ ----{2}

From {1} and {2}

Measure of ∠ A and ∠ B is less than ∠ C.

Here, we know, side opposite to greater angle is larger and side opposite to smaller angle is smaller.

∴ side AB > side BC

Answer : Hence, the side AB is larger than the side BC.