A right triangle is drawn on graph paper. The length of the legs measure 1.5 centimeters and 2 centimeters. The length of the hypotenuse measures 2.5 centimeters. Write an equation using the triangle’s side lengths to show the Pythagorean Theorem holds true for the triangle.

Answers

Answer 1

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In this case, let's denote the lengths of the legs as a = 1.5 centimeters and b = 2 centimeters, and the length of the hypotenuse as c = 2.5 centimeters.

The equation using the triangle's side lengths to show the Pythagorean Theorem holds true for the triangle is:

a^2 + b^2 = c^2

Substituting the given values, we have:

(1.5)^2 + (2)^2 = (2.5)^2

2.25 + 4 = 6.25

6.25 = 6.25

Therefore, the equation holds true, confirming that the Pythagorean Theorem is satisfied for the given right triangle.

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Answer 2

The Pythagorean Theroem states a^2+b^2=c^2. It is true because 1.5^2+2^2=2.5^2. 2.25+4=6.25.

Related Questions

Use a net to find the surface area of the cone to the nearest square centimeter. Show all your work/understanding for full credit. Use 3.14 for π

Answers

Answer:

558cm^2

You can look up the formula as well if you've forgotten it

Answer: 558 cm^2

Working out the problem is shown in the picture below for working out this question.

can calculate its volume in cub
Option 1:
Radius
2.5 inches
Volume:
Height =
6 inches

Answers

Answer:

Answer: The volume of the apartment is 2,160 ft3.

Step-by-step explanation:

The volume of the apartment is 2,160^3

hi i need help -_-

...thank you

Answers

Answer:

It's the second option.

shorter = lesser

less than = <

The answe is the second opstiok

(correct answer gets brainliest)
The Honor Society sold tickets to the school dance. The number of tickets sold is recorded on the histogram below. How many students sold twenty or less tickets?A.45 B.55 C.60 D.75

Answers

Answer:

Step-by-step explanation:

I would say B (or 55 if you want to be exact)

The base of this pyramid is a rectangle. How many congruent faces does this pyramid have?

The pyramid has 4 congruent faces.
The pyramid has 5 congruent faces.
The pyramid has 1 pair of congruent faces.
The pyramid has 2 pairs of congruent faces.

Answers

Answer: The Pyramid has 2 pairs of congruent faces

Step-by-step explanation:

The explanation of congruent is the face has the same shape and same size. On rectangle pyramid, the height triangle are 2 same faces and 2 same faces, so it has 2 pairs of congruent faces

The base has 4 congruent faces

Michael and Melissa both claim to be earning a C average (70%-79%) in their Latin class. The table below shows their grades:

One of the students is wrong about their average. Which one is wrong? Use the mean and the median given to explain how they are wrong.

Answers

Answer:

⁷⁰¿⁸⁷⁵⁹³⁰⁰³⁷

583

Step-by-step explanation:

7393 he and

Answer: Michael's median

Step-by-step explanation:

Michael's grades mean (%) = data's sum(80+76+...)/total data (7)

80+76+73+70+40+25+10/7

374/7

53.4% (right)

Michael's grades median (%) = (data's sum + 1)/2

(374 + 1)/2

data - 187 and data - 188

= 73% (wrong)

Melissa grades mean (%) = data's sum(88+83+...)/total data (7)

503/7

71.85% = 71.9% (right)

Melissa grades median (%) = (data's sum + 1)/2

(503+1)/2

504/2

data - 252

= 70% (right)

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