The triangle with side lengths 10", 24", and 26" is a right angle triangle
<u>Explanation:</u>
Given:
Sides of a triangle:
a = 10 in
b = 24 in
c = 26 in
To prove: right angle triangle
Using pythagoras theorm:
(c)² = (a)² + (b)²
(26)² = (10)² + (24)²
676 = 100 + 576
676 = 676
Right hand side is equal to left hand side.
Thus, the triangle with side lengths 10", 24", and 26" is a right angle triangle
Answer:
There is nothing here to figure this question out.
Step-by-step explanation:
The first and third one make the most sense
Answer:
Just use photo math
Step-by-step explanation:
Answer:
2√37
Step-by-step explanation:
Given some complex number z, |z| is what's called <em>magnitude </em>of a complex number -- its distance from 0. Unlike the more straightforward process of finding the absolute value of a real number (a number on the number line) complex numbers are <em>two-dimensional</em>, and so to talk about their magnitude, we need to bring in the Pythagorean theorem.
The real and imaginary part of the complex number 12 - 2i represent the point (12, -2) on the complex plane. Drawing lines perpendicular to the real and imaginary axes and joining them with a line from the origin to the point gives us a right triangle with legs 12 and 2. Using the Pythagorean theorem, the hypotenuse, |12 - 2i|, must be equal to . We can pull a 4 out of the 148 to give us