Textbook Question
Fill in the blank(s) to correctly complete each sentence.
An equilateral triangle has _________________ equal sides.
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0. Review of College Algebra
Pythagorean Theorem & Basics of Triangles
Struggling with Trigonometry?
Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
A right triangle has legs of length units and units. What is the length of the hypotenuse?
A
units
B
units
C
units
D
units
Verified step by step guidance1
Identify the given sides of the right triangle: the two legs have lengths 5 units and 10 units.
Recall the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse length \(c\) is equal to the sum of the squares of the legs: \(c^2 = a^2 + b^2\).
Substitute the given leg lengths into the formula: \(c^2 = 5^2 + 10^2\).
Calculate the squares of the legs: \$5^2 = 25\( and \)10^2 = 100\(, so \)c^2 = 25 + 100$.
Add the values to find \(c^2 = 125\), then express the hypotenuse length as \(c = \sqrt{125}\).
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