A triangle has sides of lengths 5 cm, 5 cm, and square root 47cm.

Question

Which of the following statements is true?

A. The triangle is an obtuse triangle because (√47)^2>5^2+5^2

B.
The triangle is an acute triangle because 5^2<5^2+(√47)^2

C.
The triangle is an acute triangle because (√47)^2<5^2+5^2

D.
The triangle is a right triangle because it has two sides of equal length.

I don't understand but plz help by showing me step by step im so sorry ;-;

Answer 1

Consider the following properties of a triangle
1. If a triangle has an obtuse angle, that angle must be opposite the largest side
2. A triangle can have at most one obtuse angle
3. If a triangle has sides a, b, and c, with c as the largest side,
then if
-- c^2 > a^2 + b^2 , you have an obtuse angle
-- c^2 < a^2 + b^2 , all angles are acute
-- c^2 = a^2 + b^2 , you have a right angled triangle

So.....
since √47 is the larger
which condition fits?
e.g. :
is (√47)^2 > 5^2 + 5^2 ????
or , is 47 > 50 ??

Just noticed that Steve did this for you yesterday. What part of his solution did you not understand, since he did the same thing I just did.

http://www.jiskha.com/display.cgi?id=1464747815