Question

Does 2.1,7.2,7.5 make a right triangle

Answer 1

Answer:

2.1 , 7.2 , 7.5 does NOT make a right triangle

Step-by-step explanation:

Finding if the values make a right angled triangle

the formula for finding if its an acute , obtuse , right-angled triangle

acute     $c^{2} < a^{2} + b^{2}$

obtuse    $c^{2} > a^{2} + b^{2}$

right angled   $c^{2} = a^{2} + b^{2}$

c is the hypotenuse

a and b are the adjacent and the opposite

the values given are 2.1  , 7.2  , 7.5

hence :

c would be 2.1

a would be 7.2

b would be 7.5

now we can put this into the right angled triangle formula to see if its correct.

$c^{2} = a^{2} + b^{2}$

lets first see the value of $a^{2} + b^{2}$

= 7.2^2  +  7.5^2

$a^{2} + b^{2}$ = 108.09

to check if its a right angled triangle we check if the value of c^2 gives 108.09.

find the value of $c^{2}$

= 2.1 ^2

$c^{2}$ =4.41

hence 4.41 is NOT equal to 108.09

hence its not a right angled triangle but rather an acute angle.

2.1 , 7.2 , 7.5 does NOT make a right triangle

         

Answer 2

Answer: yes it does

Step-by-step explanation:

When you graph it on a graph piece of paper it is a right triangle