<span>If this is an isosceles triangle, then it has two 45 degree angles corresponding to two legs of equal length. Orient the base of this triangle so that it's horizontal, and represent its length by b. Let h represent the height of the triangle. Then the area of this right triangle is 50 square inches = (1/2)(b)(h), or A = (b/2)h = 50 in^2.
Due to the 45 degree angles, the height of this triangle is equal to half the base, or h = b/2. Thus, (b/2)h = 50 becomes (b/2)(b/2) = 50, or b^2=200. Thus, b = 10sqrt(2), and h=(1/2)(10 sqrt(2)), or h = 5sqrt(2).
The length of one of the legs is the sqrt of [5sqrt(2)]^2+[5sqrt(2)]^2, or
sqrt(25(2)+25(2)) = sqrt(100) = 10.
</span>
Given:
two pieces of wood that are 5 feet long each.
form a triangle with a perimeter of a whole number.
third side the triangle will be the house
Since two sides are already of the same length, he can create an isosceles triangle.
An isosceles triangle has two equal sides and two equal angles.
Assuming that the 3rd side is also 5 feet long, then, he can create an equilateral triangle.
An equilateral triangle has three equal sides and three equal angles, measuring 60° each angle.
Anything times 0 is 0 so the answer is 0
Answer:
Matt should have factored out the leading coefficient 2 on the second step before completing the square
Step-by-step explanation:
To complete the square, you must first factor the leading coefficient from the first two terms.
y = 2x² − 10x − 4
y = 2 (x² − 5x) − 4
y = 2 (x² − 5x + 25/4 − 25/4) − 4
y = 2 (x² − 5x + 25/4) − 25/2 − 4
y = 2 (x − 5/2)² − 33/4
The two numbers in each column have to add to 23
So under 7 you write 16, above 4 you write 19, etc
The rule will say x + y = 23
