Arielle is building the wooden framework for the roof of a house. she needs the angle created by the vertical and horizontal boards of the frame to be a right angle. the height of the vertical board is 12 feet. the length of the horizontal board is 15 feet. the support beam that will connect the ends of the two boards measures 20 feet. which is true regarding the triangular frame? it is an acute triangle. about 0.8 foot needs to be removed from the 20-foot board to create a right triangle. it is an obtuse triangle. about 0.8 foot needs to be removed from the 20-foot board to create a right triangle. it is an acute triangle. about 7 feet need to be removed from the 20-foot board to create a right triangle. it is an obtuse triangle. about 7 feet need to be removed from the 20-foot board to create a right triangle.

It is an obtuse triangle .About 0.8 foot needs to be removed from the 20-foot board to create  a right triangle .

Step-by-step explanation:

Given

Height of vertical board= 12 feet

Height of horizontal board=15 feet

The support beam that will connect the ends of the two boards measures 20 feet.

It means the distance between two boards vertical and horizontal =20 feet

By using pythogorous theorem

=369

369

It means the given triangle is not a right triangle

Hence, the given triangle is an obtuse triangle because the sum of angles of triangle is 180 degree . If the triangle is not a right triangle therefore the triangle is an obtuse.

If it follow pythogorous theorem then

Height of hypotenuse== about 19.20 feet

Therefore, we need to remove the part of board=20-19.20=0.8 foot.

Hence, It is an obtuse triangle .About 0.8 foot needs to be removed from the 20- foot board to create a right triangle.

the co-ordinates of the transformed rectangle are:

d. (0, 0), (0, 3), (-3, 3), (-3, 0)

step-by-step explanation:

from the columns of the given matrix, the co-ordinates of the rectangle before transformation are:

(0, 0), (0, 3), (3, 3), (3, 0)

r =

transformed matrix can be obtained by multiplying the given matrix by r:

columns of the transformed matrix are:

0   0   -3   -3

0   3     3     0

from the columns of the resulted matrix, we can see that the vertices of the transformed triangle are:

(0, 0), (0, 3), (-3, 3), (-3, 0)

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