Question

Which triangle has hypotenuse Side C H? A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G. triangle ACH triangle BCH triangle GCH triangle FCH

Answer 1

Sides of triangles are given below. Determine which of them are right triangles.In case of a right triangle, write the length of its hypotenuse.

(i) 7 cm,24 cm,25 cm

(ii) 3 cm,8 cm,6 cm

(iii) 50 cm,80 cm,100 cm

(iv) 13 cm,12 cm,5 cm

Medium

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Solution

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(i)

Since, (25)

2

=(7)

2

+(24)

2

⇒625=49+576⇒625=625

Hence, 7cm, 24cm and 25cm are the sides of Right Angled Triangle and its Hypotenuse is 25cm

(ii)

Since, (8)

2



=(3)

2

+(6)

2

⇒64



=45

Hence, 8cm, 6cm and 3cm do not form Right Angled Triangle.

(iii)

Since, (100)

2



=(50)

2

+(80)

2

⇒10000



=8900

Hence, 100cm, 50cm and 80cm do not form Right Angled Triangle.

(iv)

Since, (13)

2

=(12)

2

+(5)

2

⇒169=144+25⇒169=169