Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
Unit 7 Right triangles and trigonometry home work one
Correct responses:
- x = √149
- x = 4·√5
- x = √(473)
- x = √(191.93)
- x = √(481)
- x = 31 - 12·√2
- x = 2·√(253)
Which methods can be used to find the value of x?
The value of x can be found by using Pythagorean theorem
Base on images of the right triangles in the Unit 7 Right
triangles homework, we have;
1. The lengths of the legs of the right triangles are;
10 and 7
According to Pythagorean theorem, the hypotenuse, x, is given as follows;
- x = √(10² + 7²) = √149
2. The length of the hypotenuse = 21
Length of the a leg = 19
- Length of the second leg x = √(21² - 19²) = √(80) = 4·√5
3. Length of the hypotenuse = 27
Length of a leg = 16
Therefore;
- x = √(27² - 16²) = √(473)
4. Length of the legs are; 12.8 and 5.3
Therefore;
- Length of the hypotenuse, x = √(12.8² + 5.3²) = √(191.93)
5. The two triangles formed by the perpendicular to the side
with length 18 are similar according to Side-Angle-Side
similarity postulate.
Therefore;
The perpendicular line is a perpendicular bisector to the side
having a length of 18 (divides the segment into two).
The leg lengths of the right triangle that has x as the
hypotenuse side are; 9 and 20
Therefore;
- x = √(20² + 9²) = √(481)
6. The given figure is an isosceles trapezoid.
The base length, l, of the right triangle that has 19 as the
length of the hypotenuse side is; l = √(19² - 17²) = √(72) = 6·√2
According to the properties of an isosceles trapezoid, the
base length of the two right triangles are congruent.
Length of x = 31 - The base length of the two right triangles
Which gives
Therefore;
- x = 31 - 2 × 6·√2 = 31 - 12·√2
7. Height of the triangle, h = √(22² - 16²) = √(228) = 2·√(57)
The height of the triangle is a leg of the right triangle that has
x as the length of the hypotenuse side.
The other leg length = 44 - 16 = 28
Therefore;
- x = √(28² + (2·(√57))²) = √(28² + 228) = 2·√(253)
Learn more about Pythagorean theorem here:
https://brainly.com/question/24481277
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.
