Answer:
AB = √37
BC = 2√5
AC = √41
Type: SCALENE TRIANGLE
Step-by-step explanation:
Given the coordinates
A(1, –9), B(0, –3), C(–4, –5)
We are to find the length of each sides first. Using the formula for calculating the distance between two points, we will have;
For A(1, –9) and B(0, –3)
AB = √(-3+9)²+(0-1)²
AB = √6²+(-1)²
AB = √36+1
AB = √37
For coordinates B(0, –3) and C(–4, –5)
BC = √(-5+3)²+(-4-0)²
BC= √(-2)²+(-4)²
BC = √4+16
BC = √20
BC = 2√5
For coordinates A(1, –9), C(–4, –5)
AC = √(-5+9)²+(-4-1)²
AC= √(4)²+(-5)²
AC = √16+25
AC = √41
<em>Since the sides of the triangles are all different, hence the triangle is a SCALENE triangle</em>
Answer:
7) C) PQR ≈ TSR
8) B) 3
9) D) 102 ft
10) D) 21
11) C) 45
Step-by-step explanation:
7) C) PQR ≈ TSR
8) 2 * 6 = 12
so 4x = 12
x = 3
9)
24/20 = x/85
x = 24 * 85 / 20
x = 202 ft
10)
QT/35 = 24/40
QT/35 = 3/5
QT = 35 * 3 / 5
QT = 21
11)
ΔKLM ≈ΔXYZ
9/4 = 2.25
So
XY = 9 ---> given
YZ = 7 * 2.25 = 15.75
XZ = 9 * 2.25 = 20.25
Perimeter ΔXYZ = 9 + 15.75 + 20.25 = 45
Step-by-step explanation:
<em>1</em><em>1</em><em>/</em><em>2</em><em>,</em><em> </em>-11, 22, <em>-</em><em>4</em><em>4</em><em>,</em><em> </em>88, -176
common ratio : 22/(-11) = -2
