Question

Using the side lengths determine whether the triangle is acute obtuse or right

Answer 1

Explanation:

we might use the Pythagoras theorem here,

a²+b²=c²

if c's value is exactly 45 then it is an right angle triangle
if c's value is grater than 45 then it is an obtuse angle triangle
if c's value is lesser than 45 then it is an acute angle triangle

so,
27²+36²=c²
1296=c²
c=√1296
c=36

as the value of c (36) is lesser than the original value of the hypotenuse (45), hence it is an acute angle triangle

hope it helps