Multiple Choice
Classify the triangle below according to its sides and angles.
I. Equilateral
II. Isosceles
III. Scalene
IV. Acute
V. Obtuse
VI. Right
0. Fundamental Concepts of Algebra
Pythagorean Theorem & Basics of Triangles
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Calculate the missing side of the triangle below.
A
B
C
D
Verified step by step guidance1
Identify the type of triangle: The image shows a right triangle with legs of lengths 4 and 2, and the hypotenuse labeled as z.
Recall the Pythagorean theorem: In a right triangle, the square of the hypotenuse (z) is equal to the sum of the squares of the other two sides. The formula is: z^2 = a^2 + b^2, where a and b are the lengths of the legs.
Substitute the known values into the Pythagorean theorem: Here, a = 4 and b = 2. So, the equation becomes: z^2 = 4^2 + 2^2.
Calculate the squares of the legs: Compute 4^2 = 16 and 2^2 = 4.
Add the squares of the legs: Add the results from the previous step to find z^2 = 16 + 4 = 20. To find z, take the square root of both sides: z = √20.
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