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If the Sides of a Triangle Are 3 Cm, 4 Cm, and 6 Cm Long, Determine Whether the Triangle is a Right-angled Triangle. - Mathematics

If the sides of a triangle are 3 cm, 4 cm, and 6 cm long, determine whether the triangle is a right-angled triangle.

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Solution

We have,

Sides of triangle

AB = 3 cm

BC = 4 cm

AC = 6 cm

∴ AB2 = 32 = 9

BC2 = 42 = 16

AC2 = 62 = 36

Since, AB2 + BC2 ≠ AC2

Then, by converse of Pythagoras theorem, triangle is not a right triangle.

Concept: Application of Pythagoras Theorem in Acute Angle and Obtuse Angle
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 7 Triangles
Exercise 7.7 | Q 1 | Page 119
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