When the legs are 4 m long, the area of the triangle is changing at a rate of
m^2/s
.
When the hypotenuse is 1m long the area of the triangle is changing at a rate of?
b) The area of the triangle changing when the hypotenuse is 1 m long is meter square. c) The rate is the length of the hypotenuse changing is
m/s
. Step-by-step explanation: Given : The legs of an isosceles right triangle increase in length at a rate of 2 m/s.
What rate is the area of the triangle changing?
At what rate is the area of the triangle changing?
1/3 radian/sec
.
At what rate is the length of the hypotenuse changing?
For an isosceles right triangle with sides s, the hypotenuse is s√2. The rate of change of the hypotenuse is
d(s√2)/dt = √2·ds/dt
.
How do you find the length of the legs of an isosceles triangle?
To find the unknown leg length with a given base length and altitude, use the following formula:
sqrt(A^2 – (B / 2)^2)
, where A is the altitude and B is the length of the base. For example, given an isosceles triangle with base length 6 and altitude 7, the leg lengths are: sqrt(7^2 + (6 / 2)^2) = sqrt(58) = 7.6.
How do you find time of a triangle?
To solve for time use the formula for time,
t = d/s
which means time equals distance divided by speed.
At what rate is the area of the triangle changing when the legs are 3 m long?
When the hypotenuse is 3 m long, the area of the triangle is changing at a rate of
m^2/s
(Type an exact answer, using radicals as needed.)
What is a 45 degree triangle?
A 45 – 45 – 90 degree triangle
How do you find the rate of change for a right triangle?
- First use the. Pythagorean theorem to find the hypotenuse h of the right triangle. h = √(6
2
+ 8
2
) = √(36 + 64) = 10. - In a right triangle, using trigonometric ratio for sin(x) we write. sin(x) = 8 / 10 = 0.8.
- and using trigonometric ratio for cos(x) we write. cos(x) = 6 / 10 = 0.6.
How do you find the length of the legs of a triangle?
- First use the. Pythagorean theorem to find the hypotenuse h of the right triangle. h = √(6
2
+ 8
2
) = √(36 + 64) = 10. - In a right triangle, using trigonometric ratio for sin(x) we write. sin(x) = 8 / 10 = 0.8.
- and using trigonometric ratio for cos(x) we write. cos(x) = 6 / 10 = 0.6.
What is the legs of an isosceles triangle?
In an isosceles triangle that has exactly
two equal sides
, the equal sides are called legs and the third side is called the base. The angle included by the legs is called the vertex angle and the angles that have the base as one of their sides are called the base angles.
How do you calculate A2 B2 C2?
The formula is
A2 + B2 = C2
, this is as simple as one leg of a triangle squared plus another leg of a triangle squared equals the hypotenuse squared.
What is the perimeter formula?
| Table 1 . Perimeter Formulas | Shape Formula Variables | Square P= 4s s is the length of the side of the square. | Rectangle P=2L+2W L and W are the lengths of the rectangle’s sides (length and width). | Triangle a+b+c a,b , and c are the side lengths. |
|---|
What is rate of change Example?
Other examples of rates of change include:
A population of rats increasing by 40 rats per week
.
A car traveling 68 miles per hour
(distance traveled changes by 68 miles each hour as time passes) A car driving 27 miles per gallon of gasoline (distance traveled changes by 27 miles for each gallon)
How do you figure out an interest rate?
- Step 1: To calculate your interest rate, you need to know the interest formula I/Pt = r to get your rate. …
- I = Interest amount paid in a specific time period (month, year etc.)
- P = Principle amount (the money before interest)
- t = Time period involved.
- r = Interest rate in decimal.
