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sp2606 [1]
3 years ago
7

What is the approximate distance from one corner of the soccer field to the opposite corner?

Mathematics
1 answer:
mario62 [17]3 years ago
8 0

Answer:

117 yards

Step-by-step explanation:

From the diagram here, we can see that we are to calculate the diagonal of the rectangular football field

we can calculate this by the use of Pythagoras’ theorem which posits that the square of the hypotenuse = the sum of the squares of the two other sides

From the diagram, the diagonal is the hypotenuse while the other two sides complete the right triangle

let’s say the diagonal is length d

Mathematically;

d^2 = 100^2 + 60^2

d^2 = 10,000 + 3,600

d^2 = 13,600

d = √13,600

d = 116.62 yards which is approximately 117 yards

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Δs DEF and DRQ not similar ⇒ 2nd answer

Step-by-step explanation:

Let us revise the cases of similarity

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  2. AA similarity : If two angles of one triangle are equal to the  corresponding angles of the other triangle, then the two triangles  are similar
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In triangles DEF and DRQ

∵ m∠EDF = m∠REQ ⇒ vertical opposite angles

∵ m∠E ≠ m∠R

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<em>Only one angle in the 1st triangle is equal to one angle in the other triangle, no other angles are equal, similarity needs at least two angles in one triangle equal to two angles in the other triangle </em>

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