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Select whether to use the Pythagorean Theorem or its converse in each situation.
Pythagorean Theorem
Converse
Anight triangle has sides
of length 3 cm and 4 cm.
What is the length of its
hypotenuse?
A triangle has sides of
length 10 m, 15 m, and 8 m,
Is it a right triangle?
A square has sides of length
2 om. What is the length of
its diagonal?
A right triangle has one side
that is 15 ft. Its hypotenuse
is 17 ft. How long is the
other side?

Select whether to use the Pythagorean Theorem or its converse in each situation Pythagorean Theorem Converse Anight triangle has sides of length 3 cm and 4 cm W class=

Respuesta :

1. Pythagorean Theorem
2. Converse
3. Pythagorean Theorem
4. Pythagorean Theorem
vijayhalder031

1. Pythagorean theorem

2. Converse

3. Pythagorean theroem

4. Pythagorean theorem

Concept :

  • Pythagorean theorem states that the sum of the squares of the base and height is equal to the square of the hypotenus
  • Converse of Pythagorean theorem states that sum of squares of two sides are equal to the third side then it is a right angle triangle.

How to Solve the problem?

The problem can be solved by following steps.

1. The sides of the triangles given are 3 and 4

  • We need to find the third side that is hypotenus
  • We will use the Pythagorean theorem to find the third side

2. The three sides are given are 10m , 15m and 8m

  • We need to state that It is right angle triangle or not
  • We will use the converse of Pythagorean theorem
  • to justify this statement.

3. The side lengths of the squares given is 2cm

  • we need to find the length of the diagonal
  • We will use Pythagorean theorem to find the length of the diagonal which will be the hypotenus of the triangle formed by diagonal in the square

4. A side of Right Triangle given is 15ft and The hypotenus given is 17ft

We need to use the Pythagorean theorem to find the other side

Learn more about Pythagoras theorem here

https://brainly.com/question/343682

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