Question

1. Sides of triangles are given below. Determine which of them are right tringle.

In case of a right triangle, write the length of its hypotenuse.
(i) 7 cm, 24 cm, 25 cm -
(ü) 3 cm, 8 cm, 6 cm
13. I
(iii) 50 cm, 80 cm, 100 cm
(iv) 13 cm, 12 cm, 5 cm

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Answer 1

$(i)</p><p>Since, (25) </p><p>2</p><p> =(7) </p><p>2</p><p> +(24) </p><p>2</p><p> ⇒625=49+576⇒625=625</p><p>Hence, 7cm, 24cm and 25cm are the sides of Right Angled Triangle and its Hypotenuse is 25cm</p><p>(ii)</p><p>Since, (8) </p><p>2</p><p> </p><p></p><p>=(3) </p><p>2</p><p> +(6) </p><p>2</p><p> ⇒64</p><p></p><p>=45</p><p>Hence, 8cm, 6cm and 3cm do not form Right Angled Triangle.</p><p>(iii)</p><p>Since, (100) </p><p>2</p><p> </p><p></p><p>=(50) </p><p>2</p><p> +(80) </p><p>2</p><p> ⇒10000</p><p></p><p>=8900</p><p>Hence, 100cm, 50cm and 80cm do not form Right Angled Triangle.</p><p>(iv)</p><p>Since, (13) </p><p>2</p><p> =(12) </p><p>2</p><p> +(5) </p><p>2</p><p> ⇒169=144+25⇒169=169</p><p>Hence, 13cm, 12cm and 5cm are the sides of Right Angled Triangle and its Hypotenuse is 13cm$

Answer 2

Answer:

Step-by-step explanation:

(i) 7²+24²=49+576=625=25²

so is a right triangle

H=25 cm

(ii)

3²+6²=9+36=45 ≠8²

NO

(iii) 50²+80²=2500+6400=8900≠100²

NO

(iv) 12²+5²=144+25=169=13²

YEs it it is right triangle

H=13 cm