The triangle ABC formed by AB = 5 cm, BC = 8 cm, AC = 4 cm is
a. an isosceles triangle only
b. a scalene triangle only
c. an isosceles right triangle
d. scalene as well as a right triangle
Solution:
Given, ABC is a triangle
AB = 5 cm, BC = 8 cm and AC = 4 cm
We have to find the type of triangle.
An isosceles triangle is a type of triangle that has any two sides equal in length.
Since two sides of the triangle are not equal, ABC is not an isosceles triangle.
Applying Pythagorean theorem,
AB² + AC² = BC²
4² + 5² = 8²
16 + 25 = 64
41 ≠ 64
ABC is not a right angled triangle as it does not follow pythagoras theorem.
According to the question,
AB, BC and AC are different lengths.
Therefore, ABC is a scalene triangle.
✦ Try This: The triangle XYZ formed by YZ = 6 cm, XY = 4 cm, XZ = 5 cm. Determine the type of triangle
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6
NCERT Exemplar Class 7 Maths Chapter 6 Problem 12
The triangle ABC formed by AB = 5 cm, BC = 8 cm, AC = 4 cm is: a. an isosceles triangle only, b. a scalene triangle only, c. an isosceles right triangle, d. scalene as well as a right triangle
Summary:
The triangle ABC formed by AB = 5 cm, BC = 8 cm, AC = 4 cm is a scalene triangle
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