# geometry

posted by .

14. Question says that there is a triangle with a base of x units and height h units and two sides of length 10 units. Answer the following questions:

• Draw a representation of this situation (the triangle).
• Find a formula for h in terms of x. h = square root {10^2-(x/2)^2}
• What is the domain of this function?
• Graph this function over its domain.
• How does h change as x changes?
• Find a formula for the area of the triangle in terms of x only. Graph this function. ½*x*
• How does the area of the triangle change as x changes? Area increases
• For what value of x is the area of the triangle largest?
• For what value of h is the area of the triangle largest?

## Similar Questions

1. ### geometry

A right triangle has a base that is 2 more than twice the height. Find the length of the base for the triangle. If the area is 30 square units.
2. ### geometry

I realy need help please!!!! 1-Describe the translation in words: (x, y) (x - 4, y - 9) A)4 units to the left, 9 units down B)4 units to the left, 9 units up C)4 units to the right, 9 units down D)4 units to the right, 9 units up 2-][3-,2.[1,4],[-5,4]2,-3]at …
3. ### geometry

two sides of an equilateral trianlge measure (2y+3) units and (y^2-5) units. if the perimeter of the triangle is 33 units, what is the value of y?
4. ### geometry

two sides of an equilateral trianlge measure (2y+3) units and (y^2-5) units. if the perimeter of the triangle is 33 units, what is the value of y?
5. ### Pre-Calculus

Two sides of a triangle are x units and y units in length. The angle between them is theta. Prove that the area of the triangle is 1/2xysin(theta). I'm not sure how to do this question, I tried drawing a picture but I'm still not understanding …
6. ### Pre-Calculus

Two sides of a triangle are x units and y units in length. The angle between them is theta. Prove that the area of the triangle is 1/2xysin(theta). I'm not sure how to do this question, I tried drawing a picture but I'm still not understanding …
7. ### Geometry

Diagonals of quadrilateral ABCD intersect at O.If area of triangle ACB is 5 sq.units,area of triangle BCD is 9 sq.units,area of triangle CDA is 10 sq.units and area of triangle DAB is 6 sq.units,Find area of triangle AOB. Im begging …
8. ### Geometry

The sides of a triangle have lengths of 9, 11, and 16 units. What is the perimeter of a similar triangle with its longest side 24 units in length?
9. ### Triangles math

Can someone direct me please. Am I doing this correctly. Draw a right triangle with the base of 2 units and a height of 3 units make three copies so that the length of the new sides are 50% , 300%, and 500% of the original. My idea …
10. ### Triangles math

I want to confirm if I understood . Problem states : Draw a right triangle with a base of 2 units and a height of 3 units. Make three “copies” so that the lengths of the new sides are 50%, 300%, and 500% of the original. Solution: …

More Similar Questions