.how do you find the hight of the triangle but the height inthe middle with a base and slope of 10ft?

Question

the question for the problem im looking for is:

bob would like to put a stripe down the middle of his sail what is the length of the stripe when the base is 10 and the slope hight is 10

Answer 1

assuming you are talking about the main sail on the boat which should have the base of the sail at a right angle to the mast, there are two possible answers.

it depends on what you mean down the middle?

if you mean so the base of the sail is split 5 ft. and 5 ft., then you have a right triangle with one leg 5 and the other leg is 10 and the length of the stripe(the hypotenuse) is the square root of (10 squared + 5 squared) = square root of 125 = 5 * (square root of 5) approximately = 11.2 units by the Pythagorean Theorem

if you mean so that the angle at the top of the sail is divided equally into two angles of 22.5 degrees, then you have a right triangle with an angle at the top of 22.5 degrees and an angle formed by the stripe at the bottom of 67.5 degrees. You can find the length of the short segment on the base using
the law of sines as
x/sin(22.5)= 10/sin(67.5) ==> x = sin(22.5)*10/sin(67.5) approximately = 4.1 then the length of the stripe is square root of (10 squared + 4.1 squared) approximately = 10.8 units again using the Pythagorean Theorem

Answer 2

Triangles
A triangle is a polygon with three sides and three angles. If the measure of all three angles in the triangle are the same and all three sides of the triangle are the same length, then the triangle is an equilateral triangle. If the measure of two of the angles and two of the sides of the triangle are the same, then the triangle is an isosceles triangle. A scalene triangle has three unequal sides.

The sum of the interior angles in a triangle is always 180°. If the measure of one of the angles in the triangle is 90° (a right angle), then the triangle is a right triangle, as shown in Figure 3.4.


Figure 3.4 Right triangle.

Some right triangles have unique relationships between the angles and the lengths of the sides. These are called "Special Right Triangles." It might be helpful to remember the information shown in Figure 3.5.

The perimeter of a triangle is the sum of the lengths of the sides. The area of a triangle is calculate by using the formula A = (base)(height). For any right triangle, the Pythagorean theorem states that a2 + b2 = c2, where a and b are legs (sides) and c is the hypotenuse.


Figure 3.5 Special right triangles.

TIP

Similar triangles always have the same shape, and each corresponding pair of angles has the same measure. The lengths of the pairs of corresponding sides that form the angles are proportional

For pictures go to this website. This might help you out a little

Answer 3

10/2 = 5

a^2 + b^2 = c^2
a^2 + 5^2 = 10^2
a^2 + 25 = 100
a^2 = 75
a = sqrt(75)
a = sqrt(25 * 3)
a = 5sqrt(3)

The stripe is about 8.66 ft long

Answer 4

Get your words right. I can't follow you. And what is "the question for the problem"?