Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two si
des measure 13 cm each. One diagonal, EG, measures 24 cm.What is the length of the other diagonal, DF?5 cm16 cm21 cm32 cm
1 answer:
In geometry, it is always advantageous to draw a diagram from the given information in order to visualize the problem in the context of the given.
A figure has been drawn to define the vertices and intersections.
The given lengths are also noted.
From the properties of a kite, the diagonals intersect at right angles, resulting in four right triangles.
Since we know two of the sides of each of the right triangles, we can calculate their heights which in turn are the segments which make up the other diagonal.
From triangle A F G, we use Pythagoras theorem to find
h1=A F=sqrt(20*20-12*12)=sqrt(256)=16
From triangle DFG, we use Pythagoras theorem to find
h2=DF=sqrt(13*13-12*12)=sqrt(25) = 5
So the length of the other diagonal equals 16+5=21 cm
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Answer:
- CD = 5.7 cm
- ED = 3.05 cm
Step-by-step explanation:
a) ΔACD ~ ΔABE so the ratios of corresponding sides are the same. That is ...
CD/BE = CA/BA
CD/3.8 = 12.3/8.2
CD = 3.8×12.3/8.2 = 5.7 . . . . cm
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b) As above, the ratios of corresponding sides are the same.
ED/AD = BC/AC
ED/9.15 = (12.3-8.2)/12.3 . . . . BC = AC - AB
ED = 9.15×4.1/12.3 = 3.05 . . . . cm
The diagram included should explain this.
Answer:
Step-by-step explanation:
I have attached a written explanation to help :).
Let's say each side of the square =
If we put 7 squares in a row to make the rectangle,
length of the rectangle =
Area of a rectangle = length multiplied by width
Area of rectangle = multiplied by
=
We are also told that the total area = 567
So
Now solve for .
Divide both sides by 7.
Then square root both sides to find
= 9
Finally, the question asks to find the length of the collage which we said was and we know
Length of collage = multiplied by
= ?
