Answer: 8
Step-by-step explanation:
The triangle shown in the image attached is a right triangle.
Therefore, to calculate the missing lenght of the triangle you can apply the Pythagorean Theorem, which is shown below:
Where <em>a</em> is the hypotenuse and <em>b</em> and <em>c</em> are the legs.
The problem gives you the value of the hypotenuse and the value of one leg. Therefore, you must solve for the other leg from , as following:
Therefore, the lenght of the missing side is: 8
Answer:
392
Step-by-step explanation:
Triangles XQP and YRS are right triangles because triples 6, 8, 10 are Pythagorean triples.
Extend lines XQ, YR, YS and XP and mark their intersection as A and B.
Quadrilateral XAYB is a square because all right triangles PXQ, QAR, RYS and SBP are congruent (by ASA postulate) and therefore
- all angles of the quadrilateral XAYB are right angles
- all sides of XAYB are congruent and equal to 6 + 8 = 14 units.
Segment XY is the diagonal of the square XAYB, by Pythagorean theorem,
All the points touch with -2,-1,1,2 and 12
We can get the circumference of any circle in terms of the radius with this formula. C = 2
r.
Where r is the radius of the circle.
And we will use 3.14 for
.
Plug in all the values.
C = 2 * 3.14 * 2
C = 12.56
So, the circumference of the circle is 12.6 inches when rounded to the nearest tenth.
Answer:
Height of building from base to ladder = 5.8 meter (Approx.)
Step-by-step explanation:
Given:
Length of ladder = 6 meters
Distance of ladder from base = 1.5 meters
Find:
Height of building from base to ladder
Computation:
Perpendicular = √Hypotenuse² - Base²
Height of building from base to ladder = √Length of ladder² - Distance of ladder from base²
Height of building from base to ladder = √6² - 1.5²
Height of building from base to ladder = √36 - 2.25
Height of building from base to ladder = √33.75
Height of building from base to ladder = 5.8 meter (Approx.)
