Step-by-step explanation:
area of the trapezoid = area of the 2 triangles +
area of the rectangle
i) area of triangle on left:
a = ½ bh
a = ½ × 2 × 9
a = 9 in²
ii) area of triangle on right:
a = ½ bh
a = ½ × 2 × 9
a = 9 in²
iii) area of rectangle = length × width
a = l × w
a = 12 × 9
a = 108 in²
iv) area of trapezoid = 9 + 9 + 108
= 126 in²
hope this helps you!
-s.
Answer:
Step-by-step explanation:
Using the section formula, if a point (x,y) divides the line joining the points (x
1
,y
1
) and (x
2
,y
2
) in the ratio m:n, then
(x,y)=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
The vertices of the triangle are given to be (x
1
,y
1
),(x
2
,y
2
) and (x
3
,y
3
). Let these vertices be A,B and C respectively.
Then the coordinates of the point P that divides AB in l:k will be
(
l+k
lx
2
+kx
1
,
l+k
ly
2
+ky
1
)
The coordinates of point which divides PC in m:k+l will be
⎩
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎧
m+k+l
mx
3
+(k+l)
(l+k)
lx
2
+kx
1
,
m+k+l
my
3
+(k+l)
(l+k)
ly
2
+ky
1
⎭
⎪
⎪
⎪
⎬
⎪
⎪
⎪
⎫
⇒(
m+k+l
kx
1
+lx
2
+mx
3
,
m+k+l
ky
1
+ly
2
+my
3
)
58700 because if you follow the rules of PEMDAS then you would have to exponents 10^4 is 10000 then multiply 5.87 which gives 58700
Answer:
Step-by-step explanation:1
Answer:
Triangle A and B
Step-by-step explanation:
The lengths from triangle A is being doubled to make the lengths of triangle B. They also have the same angles.