Answer details: Grade: High School. In the right triangle below the length of ac is 30. what is the length of ab? Using Pythagoras' theorem its hypotenuse will be 20. Algebraically, the Pythagorean Theorem looks like this: In the geometric sense, "square" is literally a square and the theorem looks like this: The area of the square with side a is a2, the area of the square with side b is b2, and the area of the square with side c is c2. Enter your parent or guardian's email address: Already have an account? Further explanation: The Pythagorean formula can be expressed as, Here, H represents the hypotenuse, P represents the perpendicular and B represents the base. See the Pythagorean Theorem and the Right Triangle Altitude Theorem, and use them in proofs. Suppose the two legs of a right triangle measure 3 in. A trig function is one that relates the lengths of the sides of a right triangle to one of its angle measures. High accurate tutors, shorter answering time. Example 1: The base of this right triangle is 10 in.
That means that the sum of the areas of the two smaller squares is equal to the area of the largest square. Question: Given the right triangle below, what is the missing length? Unlimited access to all gallery answers. Answered step-by-step. Get 5 free video unlocks on our app with code GOMOBILE. It must have the length of two of its sides. In fact, it's pretty important algebraically, as well. So, let a = 8 and c = 17, and find b. Answer and Explanation: 1. Hence, the length of the side BC is. A Pythagorean triple is a set of three positive integers that satisfy the Pythagorean Theorem.
Multiples of Pythagorean triples are also Pythagorean triples. If you answered C, you may have forgotten to multiply the product of the base and height by one-half. The area of a triangle is given by the formula, where b is the base and h is the height. Are they legs or hypotenuse? Ask a live tutor for help now. The other leg has length 15 cm. Learn more about this topic: fromChapter 7 / Lesson 9.
We are required to find the missing length. Choice A is the correct answer. Provide step-by-step explanations. We're given an angle measure and the hypotenuse. Chapter: Trigonometry. Check the full answer on App Gauthmath. Option (F) is not correct. All right, let's see how to use the theorem. 12 Free tickets every month. Gauthmath helper for Chrome. If the lengths of the sides of any triangle satisfy the Pythagorean Theorem, the triangle must be a right triangle. It is important to remember that the base and the height must be perpendicular.
We'll address this in a later section. Try Numerade free for 7 days. Unlimited answer cards. The trigonometry (or "trig") that we'll explore here is restricted to right triangles, so sometimes it's called right triangle trigonometry.
If you answered B, you may have used the sine function instead of the cosine function. We are given a triangle with the length of two of its sides.
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