Triangle Area Calculation: Using BC=6cm and KD=4cm Measurements

Question

Given the triangle ABC

Given in cm BC=6 KD=4

Is it possible to calculate the area of the triangle? If so, how much is it?

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Video Solution

Solution Steps

00:00 Determine whether it is possible to calculate the area of the triangle? And if so, what is it?
00:02 Apply the formula for calculating the area of a triangle
00:05 (base(BC) x height (H)) divided by 2
00:14 Whilst we have the BC value
00:17 We don't know the height value
00:21 Therefore we cannot calculate the area of the triangle
00:24 This is the solution

Step-by-Step Solution

To determine whether we can calculate the area of triangle ABC, let's analyze the given data:

  • We are provided with the length of side BC as 66 cm.
  • We are also informed about KD having a length of 44 cm, but its specific role in triangle ABC is unclear without a detailed diagram or context.

To find the area of a triangle, typically, one would need either:

  • All three side lengths (to use Heron's Formula),
  • A base and its corresponding height, or
  • Two sides and the included angle.

In this scenario, with the limited information given, none of these approaches is viable. We lack data such as another side length of triangle ABC beyond BC, an angle specifically within triangle ABC, or clarification on how KD relates to ABC's base or height.

Therefore, it is not possible to calculate the area of triangle ABC with the information provided.

Finally, we conclude that the correct choice is: It is not possible to calculate the area of the triangle with the given information.

Answer

It is not possible to