There are two triangles, a big triangle and a small triangle that is inside the big triangle. Because the base of the triangles are parallel to each other( indicated by the arrow), and the small triangle is perfectly inside the bigger triangle, the sides of the triangles are proportional.
It is know that the base of the small triangle is 3.5, and the hypotenuse of the small triangle is 7cm. it is also known that the the hypotenuse of the big triangle is (7+8)=15 and the base of the big triangle is unknown.
Since the triangles are proportional,
to find the base of the big triangle
base(big)/hypotenuse(big)=base(small)/hypotenuse(small)
Plug in the numbers
x/15=3.5/7
x/15=1/2
x=15/2
x=7.5
The length of the base of the big triangle is 7.5cm
Area of rectangle = 15 x 8
=120
area of parallelogram = 8 x 15
=120
so, they have the same area, because the length of a rectangle is the same as the height of a parallelogram and also for the base.
Step-by-step explanation:
green: 6/4
red: 7/4
this is all i know
Answer: m=-6
Step-by-step explanation:
Add 7 to the other side
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