Atriangle has side lengths 32, 45 and 18. what type of triangle is it?
a) right
b) acute
c) obtuse
d) none of the above
a triangle has side lengths 44, 36 and 30. what type of triangle is it?
a) right
b) acute
c) obtuse
d) none of the above

Part A) Option C. obtuse

Part B) Option B. acute

Step-by-step explanation:

we know that

Applying the Pythagoras Theorem

if ----> is a right triangle

if ----> is an obtuse triangle

if ----> is an acute triangle  

where

c is the greater side

Part A) A triangle has side lengths 32, 45 and 18. What type of triangle is it?

we have

therefore

Is an obtuse triangle

Part B) A triangle has side lengths 44, 36 and 30. What type of triangle is it?

we have

therefore

Is an acute triangle

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.