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3 years ago

State if each triangle is acute, obtuse,or right using Pythagorean theorem converse.

Mathematics

1 answer:

shtirl [24]3 years ago

3 0

Answer:

Right triangle

Step-by-step explanation:

Properties for acute, obtuse or right triangle,

1). Given triangle will be a right triangle if,

Hypotenuse² = (Leg 1)² + (Leg 2)²

2). Triangle will be an acute triangle if,

(Largest side)² < (leg 1)² + (leg 2)²

3). Triangle will be an obtuse triangle if,

(Largest side)² > (leg 1)² + (leg 2)²

Now we apply these properties in the given triangle,

(Largest side)² = (√11105)²

= 11105

(leg 1)² = (76)²

= 5776

(leg 2)² = (73)²

= 5329

Since 11105 = 5776 + 5329 (First Property)

11105 = 11105

Therefore, given triangle is a right triangle.

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3 years ago

Which of the following best describes the volume of a cylinder?

Ahat [919]

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3 years ago

15. What is the algebraic notation of a figure is Translated 8 units left and 2 units up?

sasho [114]

Answer:

Please check the explanation.

Step-by-step explanation:

When a figure is translated with 8 units left and 2 units up, it means the translated figure can be obtained by subtracting 8 units from the x-axis and adding 2 units to the y-axis.

For example, if a point P(0, 0) is translated with 8 units left and 2 units up, the new position of the point will be:

(x, y) → (x-8, y+2)

P(0, 0) → P'(0-8, 0+2) = P'(-8, 2)

Thus, the new location of the image of point P will be: P'(-8, 2)

Therefore, option (a) is the correction answer.

FOR QUESTION 16

As the algebraic notation of a figure is Translated 2 units right and 5 units up.

Translating 'a' units right mean, we need to add 'a' units to the x-axis.

Thus, the rule will be:

(x, y) → (x+2, y+5)

Therefore, option (b) is correct.

4 0