8. Given: PQR and TSR are right triangles,

Mathematics

1 answer:

rewona [7]2 years ago

3 0

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are scalene, right angled, isosceles, equilateral.

A right angled triangle is a triangle with one angle equals to 90°.

Statement Reason

∠PQR = ∠RST Given. ∠PQR = ∠RST = 90° (definition for right

angle triangle.

PQ = ST Given

PR ≅ RT Since R is the midpoint of PT, hence PR = RT

ΔPQR ≅ ΔTSR Side-angle-side triangle congruence theorem.

the Side-angle-side triangle congruence theorem

states that if two sides and an included angle of

one triangle is equal to two sides and an included

angle of another triangle, then the two triangles

are congruent. PQ=ST, PR = RT and ∠PQR = ∠TSR

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A free kick is given in a soccer game where the player taking the kick is 14 yards from the left post. the goalie is standing on

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IfIf a free kick is given in a soccer game where the player taking the kick is 14 yards from the left post. How far is the kicker from the right post, to the nearest yard is: A. 23 yards.

<h3>Distance of the kicker from the right post</h3>

Using sine theorem

Let Left triangle=3/sinx=14/sin∝

Let Right triangle=5/sinx=y/sin(180°-∝°)

Let Sin∝°=sin(180°-∝°) sinx=sinx

Let y represent how far is the kicker

Hence:

3/5=14/y

y=5×14/3

y=70/3

y=23.3333

y=23 yards (Approximately)

Therefore If a free kick is given in a soccer game where the player taking the kick is 14 yards from the left post. How far is the kicker from the right post, to the nearest yard is: A. 23 yards.

Learn more about Distance of the kicker from the right post here:brainly.com/question/26416446

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