Q1 of 168 Page 4

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

We have,


AB=3cm, BC=4cm, AC=6cm


∴ AB2 = 32=9


BC2 = 42 =16


AC2=62=36


Since AB2+BC2≠ AC2


SO Triangle is not a right angle.


More from this chapter

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21

If are equilateral triangles, where D is the mid point of BC, find the ratio of areas of .

 22

AD is and altitude of an equilateral triangle ABC. On AD as base, another equilateral triangle ADE is constructed. Prove that Area () : Area () = 3 : 4.

 2

The sides of certain triangles are given below. Determine which of them are right triangles.

(i) a = 7 cm, b = 24 cm and c = 25 cm


(ii) a = 9 cm, b = 16 cm and c = 18 cm


(iii) a = 1.6 cm, b = 3.8 cm and c = 4 cm


(iv) a = 8 cm, b = 10 cm and c = 6 cm

 3

A man goes 15 metres due west and then 8 metres due north. How far is he from the starting point?