Textbook Question
Fill in the blank(s) to correctly complete each sentence.
An isosceles right triangle has one ________________ angle and ______________ 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 ft and ft. Which is the length of the hypotenuse of the triangle?
A
ft
B
ft
C
ft
D
ft
Verified step by step guidance1
Identify the given information: the right triangle has legs of lengths 12 ft and 35 ft. We need to find the length of the hypotenuse.
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 \(a\) and \(b\): \(c^2 = a^2 + b^2\).
Substitute the given leg lengths into the formula: \(c^2 = 12^2 + 35^2\).
Calculate the squares of the legs: \$12^2 = 144\( and \)35^2 = 1225\(, so \)c^2 = 144 + 1225$.
Add the values to find \(c^2\), then take the square root of both sides to solve for \(c\): \(c = \sqrt{144 + 1225}\).
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