Answer:
The perimeter of the triangle is equal to 36 cm
Step-by-step explanation:
we know that
The inscribed circle contained in the triangle BCA is tangent to the three sides
we have that
BF=BH
CF=CG
AH=AG
step 1
Find CG
we know that
CF=CG
so
CF=7 cm
therefore
CG=7 cm
step 2
Find AG
we know that
CA=AG+CG
we have
CA=15 cm
CG=7 cm
substitute
15=AG+7
AG=15-7=8 cm
step 3
Find AH
Remember that
AG=AH
we have
AG=8 cm
therefore
AH=8 cm
step 4
Find BF
Remember that
BF=BH
BH=3 cm
therefore
BF=3 cm
step 5
Find the perimeter of the triangle
P=AH+BH+BF+CF+CG+AG
substitute the values
P=8+3+3+7+7+8=36 cm
64 + 2x = 180
2x = 116
x = 58
angle R equals 58 degrees
The angle measure is 30 degrees.
Drawing out an image, the angle the is between the ground at the hypotenuse (the slanted guy wire), it creates a triangle with the utility pole that was already on the side. The angle between the utility pole and the ground is obviously 90 degrees because it is assumed to be at a straight standing stance.
Normally these two given angles would be added and then subtracted from 180 degrees (the law of Sum of Angles in a Triangle).
60 + 90 = 150 ... 180 - 150 = 30
Also, this can be supported by the 30-60-90 Theorem, which states that if a triangle contains 2 of the 3 angles, the other angle will be the missing one.
It will be 23.2
just divide it if u have to round also do that
Let be the volume of the solid S. We can write:
Now, we just need to calculate the volume of the original prism (Vtriangular) and the volume that was removed (Vrectangular). So:
Then,
Thus, the answer is 45.4 u³.