Question

Dimensions of a possible right-angled triangle are:(a)6,6,6(b)6, 6, 8(c)1,2,3(d)6, 8, 10

Answer 1

Answer:

d) 6, 8, 10 = AB2 + BC2 = AC2

Step-by-step explanation:

6×6 + 8×8 = 10×10

100=100( LHS = RHS)

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Answer 2

Answer:

(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

Hence, 13cm, 12cm and 5cm are the sides of Right Angled Triangle and its Hypotenuse is 13cm.