Answer:
Yes, it will fit snugly in a 90º corner
Step-by-step explanation:
To do this, we simply need to check if the given sides of the shelf is right-angled.
So, we have:
To check for right-angle triangle, we make use of:
This gives:
This shows that the given sides of the shelf is a right-angled triangle.
Hence, it will fit the wall
For a.
Since there are already two angles given for the triangle, we can measure the last angle using this formula:
90 + 55 + a = 180
Now solve for "a".
90 + 55 + a = 180
145 + a = 180
a = 180 - 145
a = 35°
For b.
From the picture above, the two triangle's tip are touching and having to form <em>vertical angles. </em>This means that the angles are congruent to each other.
Now that we have two angles in the second triangle(35 and 120), we can use the same formula:
35 + 120 + b = 180
Now solve for "b":
35 + 120 + b = 180
155 + b = 180
b = 180 - 155
b = 25°
Answer:
5 faces
Step-by-step explanation:
4 triangle faces + 1 square base face = 5 faces in total
Answer:
148 in^2
Step-by-step explanation:
2(4 x 5) = 40
2(4 x 6) = 48
2(5 x 6) = 60
