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ruslelena [56]
3 years ago
10

The lengths of the three sides of a right triangle are 25,15,20. Which equation correctly expresses the relationship between the

lengths of the three sides?
Question 1 options:

A 202+252=152

B 252+152=202

C 152+202=252

D 252+202=152
Mathematics
1 answer:
aleksklad [387]3 years ago
3 0

Answer:

Option C. 15^2 + 20^2 = 25^2

Step-by-step explanation:from the question, we obtained the following:

The sides = 25, 15, 20

Since it is a right angle triangle, 25 is the longest side. Therefore their relationship is:

15^2 + 20^2 = 25^2

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The area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units

<h3>Perimeter and area of the triangle giving the equation of a line</h3>

First we will plot the giving lines, determine the point of intersection and then use the Pythagoras theorem to determine the dimension of the right triangle.

From the given equation of the lines, the points of intersection of the line are (x₁, y₁) = (- 0.4, 5.2), (x₂, y₂) = (-0.8, 4.4) and (x₃, y₃) = (0, 4)

For the base

b² = c² -a²

b = √(-0.8)² + (4 - 4.4)²

b = 2√5 / 5

For the height

h = √((- 0.4) - (- 0.8))² + (5.2 - 4.4)²

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For the hypotenuse

r = √2 · b

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<h3>Determine the Perimeter and area</h3>

Perimeter = s1+s2+s3

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Perimeter = (2√10 + 4√5) / 5 units

<u>For the area</u>

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Hence the area and perimeter of the triangle is 2/5 square units and (2√10 + 4√5) / 5 units

Learn more on area and perimeter of triangles here: brainly.com/question/21511715

#SPJ1

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