Step-by-step explanation:
Given : A triangle with side lengths
To find : Prove that when x > 1, it is a right triangle. Use the Pythagorean theorem and the given side lengths to create an equation. Use the equation to show that this triangle follows the rule describing right triangles. Explain your steps ?
Solution :
For right triangle the Pythagorean theorem is to be satisfied.
i.e.
Here,
Substitute the values,
LHS=RHS
It is a right triangle.
Answer:
She needs to purchase 50 square feet of wood .
Step-by-step explanation:
we can find the number of square feet of wood needed to purchase by finding the area of the table
The area of the table = area of the triangle + area of the rectangle
Area of the triangle:
Area of the triangle =
On substituting the values from the attached figure , we get
Area of the triangle =
Area of the triangle =
Area of the triangle = 10 square feet
Area of the rectangle:
Area of the rectangle = Length X Breadth
On substituting the values from the attached figure , we get
Area of the triangle =
Area of the triangle = 40 square feet
Thus the area of the table = 10 + 40 = 50 square feet
