Question

1. can following sets of numbers be the lengths of the sides of a right angled triangle?(a)1.5cm,3.6cm,3.9cm​

Answer 1

Answer:

yes, a) 3cm 4cm and 5cm is a right angle triangle as it forms a pythagoras triplet ( 3^2=4+5 this shows that its a triplet)

b) 1.5cm 3.6cm, 3.6cm because:

In a right angle triangle,

h^2 =p^2 +b^2 and The hypotenuse is the largest side,

Here, h=3.9 and the other two sides are 1.5 and 3.6

∴h^2=(3.9^2) =15.21  and p^2+b^2 =(1.5^2)  +(3.6^2)  

=2.25+12.96=15.21

Hence, h ^2=p^2 +b ^2

 

∴ The given measures can be the sides of a right-angled triangle

Step-by-step explanation: