The points a(0, 0), b(0, 4a - 5) and c(2a + 1, 2a + 6) form a triangle. if angle abc = 90, what is the area of triangle abc? (a) 102(b) 120(c) 132(d) 144(e) 156

A:102

Step-by-step explanation:

We are given that the points A(0,0),B(0,4a-5) and C(2a-+1,2a+6) form a triangle.

If angle ABC=

We have to find the area of triangle ABC

If angle ABC= 90 degree

From given below figure

Substitute the values then we get

B(0,17) and C (12,17)

Distance formula

AB=

BC=

BC= units

Area of triangle =

Substitute the values

Then we get

Area of triangle ABC=

Area of triangle ABC=102 square units

A: 102

last option: rhombus or kite

step-by-step explanation:

a kite and rhombus have the same shape. as we don't have any specific formula for the calculation of area of kite. the diagonals are used to calculate the area of a kite or rhombus.

the formula for area of rhombus is given by:

here, d_1 is the first diagonal and d_2 is the second diagonal.

so,

last option is the correct answer ..

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5