Math Problem Statement

Find the hypotenuse X in the given right triangle where the two legs are 15 units and 20 units respectively.

Solution

It seems you've uploaded an image of a right triangle with labeled sides. Based on the diagram, here's the information I can gather:

  • The right angle is at point NN.
  • The vertical side PNPN is 15 units.
  • The horizontal side NTNT is 20 units.
  • The hypotenuse PTPT is denoted as XX.

This appears to be a Pythagorean theorem problem, where we can use the formula:

c2=a2+b2c^2 = a^2 + b^2

In your case, a=15a = 15, b=20b = 20, and c=Xc = X, the hypotenuse.

Let me calculate the length of XX (the hypotenuse). math

Given values

a = 15 # vertical side b = 20 # horizontal side

Pythagorean theorem to find hypotenuse c

X = math.sqrt(a2 + b2) XUsing the Pythagorean theorem, the length of the hypotenuse XX is 25 units.

Would you like further details or have any questions about this? Here are a few related questions:

  1. How do you calculate the length of the hypotenuse using the Pythagorean theorem?
  2. What are some applications of the Pythagorean theorem in real life?
  3. Can the Pythagorean theorem be used for non-right triangles?
  4. How do you calculate the area of a right triangle using its sides?
  5. How does the Pythagorean theorem relate to trigonometry?

Tip: Remember, the Pythagorean theorem only applies to right-angled triangles!

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Math Problem Analysis

Mathematical Concepts

Geometry
Right Triangles
Pythagorean Theorem

Formulas

c^2 = a^2 + b^2

Theorems

Pythagorean Theorem

Suitable Grade Level

Grades 6-8