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. Review of College Algebra
Pythagorean Theorem & Basics of Triangles
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Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
Calculate the missing side of the triangle below.
A
B
C
D
Verified step by step guidance1
Identify the type of triangle: The given triangle is a right triangle with legs of lengths 4 and 2, and hypotenuse z.
Apply 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 legs of the triangle.
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 and 2^2, which are 16 and 4, respectively.
Add the squares of the legs: Add 16 and 4 to get the value of z^2, which is 20. Then, take the square root of both sides to solve for z, giving z = \sqrt{20}.
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