The vertices of a triangle are a(–2, 2), b(9, 0), and c(1, –4). if the triangle is a right triangle, which vertex is the right angle?
a.

a

b.

b

c.

c

d.

none, it is not a right triangle

The correct option is (C) C.

Step-by-step explanation:  Given that the vertices of a triangle are A(–2, 2), B(9, 0), and C(1, –4) and it is a right-angled triangle.

We are to select the correct vertex that is the right angle.

We will be using the Pythagorean identity to select the correct vertex with right angle.

The lengths of the three sides of ΔABC are calculated using distance formula as follows :

We have

So, AB is the hypotenuse and angle opposite to AB, i.e., angle C will be the right-angle.

Thus, the correct vertex is C.

Option (C) is CORRECT.

answer: the value of x is 7cm

step-by-step explanation:

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d