# math

posted by .

The lenght of each of the two sides of an isisceles triangle is 10 meters. The angle between the two congruent sides is x. find the area of the triangle as a function of x/2.

• math -

area = 1/2 base * height
= 1/2 * 2(10sin(x/2)) * 10cos(x/2)
= 100 sin(x/2)cos(x/2)
= 50 sin(x)

## Similar Questions

1. ### Trigonometry

Suppose you have an isosceles triangle, and each of the equal sides has a lenght of 1 foot. Suppose the angle formed by those two sides is 45^\circ. Then the area of the triangle is square feet.
2. ### Calculus

An isosceles triangle is to be drawn with its two equal sides of legth 10. What is the maximum possible area for the triangle?
3. ### math

The lenght of each of the two sides of an isisceles triangle is 10 meters. The angle between the two congruent sides is x. find the area of the triangle as a function of x/2.
4. ### math

Two sides of a triangle have lengths 15 m and 18 m. The angle between them is decreasing at a rate of 0.08 rad/s. Find the rate at which the area of the triangle is changing when the angle between the sides of fixed length is 120°.
5. ### math

Two sides of a triangle have lengths 8 m and 24 m. The angle between them is increasing at a rate of 0.05 rad/s. Find the rate at which the area of the triangle is changing when the angle between the sides of fixed length is 135°. …
6. ### math indirect measurement

traingle LMN ~ triangle TUV How long is segment LN and how long is segment UV?
7. ### math

two sides of a triangle are given.find the angle between these two sides so that area of the triangle is maximum?