Answer: The answers are in the photo.
Step-by-step explanation:
To solve 11, we need to mark the triangle. Since we know that LMN is an isosceles triangle, we can use the iso. triangle theo. proof to mark some angles and sides.The iso. triangle theo. is that an isosceles triangle's opposite base angles are congruent, and the sides opposite of the bases angles are congruent to each other (meaning 2 sides are congruent and 2 angles are congruent.) Since T is the midpoint of LN, LT and TN are congruent. Triangles LMT and LNT also share a same side we can also mark.
To solve number 12, you can use CPCTC- congruent parts of congruent triangles are congruent. Anything in LMT and LNT are congruent to each other, making angles 1 and 2 congruent.
To solve number 13, you just need to place and plug. We know the right base vertice has a y of 0 because it is sitting on the x-axis. Because this triangle is isosceles, we can use the value of the top vertices x, multiply it by 2, which gets 2a as the x of the right base vertice. In the end, it's coordinates are (2a,0).
I apologize if this explanation is sloppy.
Answer:
23.3
(or (let me know if you wanted this one and is you want it explained) lol)
Step-by-step explanation:
To find the length of the fence, use the Pythagorean theorem because, if you cut a rectangle diagonally, you will create two right triangles, and this formula only works with right triangles:
Insert values:
Solve for c:
Evaluate exponents
Simplify addition
Find the square root of both
The fence needs to be approximately 23.3 m.