Question

Suppose a triangle has sides a, b, and c, and that a^2 + b^2 < c^2. Let theta be the measure of the angle opposite the side of length c. Which of the following must be true?
***check all that apply***
A. theta is an obtuse angle.
B. the triangle is not a right triangle
C. the triangle is a right triangle
D. cos theta< 0

Answer 1

Hint: if c^2 = a^2 + b^2 then its a right angled triangle

Answer 2

so C is one of the answers? and i think D is too

Answer 3

No not C beacuse c^2 > a^2 + b^2 not EQUAL

Answer 4

so its B and D? if its not equal then B?

Answer 5

the triangle will look a bit like

Answer 6

B and D are correct
what about A?

Answer 7

so its A, B, and D!! :)

Answer 8

A is correct cause the angle is over 90 degrees

Answer 9

yes - if c^2 > a^ + b^2 the opposite angle to c is > 90 deggrees ( obtuse)

Answer 10

thank you!

Answer 11

yw

by the way if c^2 < a^2 + b^2 then angle opposite c will be acute