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01:59:41
What is the length of the other diagonal, DF?
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 sides measure 13 cm each. One diagonal,
EG, measures 24 cm.
05 cm
O 16 cm
F
21 cm
O 32 cm
20 cm
20 cm
E
G
13 cm
13 cm
D
w
Answers
Answer:
EF² = FA²+ EA²
20² = 12² + FA²
400 -144 = FA²
256 =FA²
16cm = FA
Now in Δ DAG
DG² = AG² + DA²
13² = 12 ²+ DA²
169 -144 = DA²
25 = DA²
5cm = DA
Then that means diagonal DF = DA + FA
= 5 + 16
= 21cm
Step-by-step explanation:
The value of the other diagonal DF is 21.66 cm.
What is Pythagoras Theorem?The square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle, according to the Pythagorean theorem.
Given:
The top two sides measure 20 cm each and the bottom two sides measure 13 cm each.
EG= 24 cm.
As, Diagonal ED divides the diagonal DF into two equal parts.
Now, Using Pythagoras theorem in triangle DOG
x²/4 + y² = 13²= 169
and, Using Pythagoras theorem in triangle EOD
x²/4 + (24 -y)² = 20²= 169
x²/4 + 576 -48y+ 169 - x²/4 = 400
-48y= -345
y= 7.1785
now, y²= 169 - x²/4
51. 6601 = 169 - x²/4
x/2 = 10.83
x = 21.66 cm
Thus, the other diagonal DF is 21.66 cm.
Learn more about kite shape here:
brainly.com/question/12231347
#SPJ7
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=
5
for which sum to be found.
We know sum of geometric series up to
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th term is
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1
⋅
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Here
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