Question

FAN AND MEDAL
Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?

A.The triangle is acute because 22 + 52 > 42.
B.The triangle is acute because 2 + 4 > 5.
C.The triangle is not acute because 22 + 42 < 52.
D.The triangle is not acute because 22 < 42 + 52.

Answer 1

Hint:- in an acute angled triangle c^2 < a^2 + b^2 where c is the longest side

Answer 2

Is it D?

Answer 3

No 2 is the shortest side You are looking for the longest side to be isolated

Answer 4

B.

Answer 5

which side is the longest?

Answer 6

5

Answer 7

right - and each side has to be squared

Answer 8

acute triangle:- c^2 < a^2 + b^2
obtuse triangle c^2 > a^2 + b^2
right triangle:- c^2 = a^2 + b^2

Answer 9

B is not correct because the values are not squared.
ALSO ITS BETTER TO WRITE SQUARED NUMBERS as 2^2 , 4^2 and 5^2 to avoid confusion
22 is usually take to be 'twenty two'.

Answer 10

the options are written as the reverse of the equations i gave you so i'll rewrite them in this way

acute triangle a^2 + b^2 > c^2
obtuse a^2 + b^2 < c^2

That should help yo choose the right one
They are the same as the other ones but are written in reverse

Answer 11

let a = 2 and = 4 and c = 5. (c is always the longest side).

Answer 12

* b = 4