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From the creators of
Presents
To know the measurements of the
three sides of the ramp.
Ms. Salonga as the owner, and
Handy Migui as the delivery boy.
Ms. Salonga, who is the
owner of the company.
Hi, I am Handy Migui, Ms. Salonga is the owner
of a car company, and she needs to deliver the
ordered cars. She assigned me to deliver the
ordered cars.
Click to Continue
She Said “The Length of the inclined ramp to
used for unloading cars in a truck is 8m longer
than the rise of the ramp. The run is 7m longer
that the rise.”
run = x+7
rise = x
Click to Continue
She Said “The Length of the inclined ramp to
used for unloading cars in a truck is 8m longer
than the rise of the ramp. The run is 7m longer
that the rise.”
run = x+7
rise = x
How long are the three sides of the
ramp for the cars to be unloaded
safely?Click to Continue
Let : x be the
rise of the ramp (height of triangle,
a) x+7 be the run of the ramp
(base of triangle, b) x+8 be the
length of the ramp (hypotenuse o, c)
Click to Continue
C2=a2+b2
(x+8)2=x2+(x+7)2
Substitute the values in the
pythagorean theorem
Click to Continue
(x+8)2 = x2 + (x+7)2
x2+16x+64 = x2+x2+14x+49
x2-x216x-14x+64 -49= x2
2x+15 = x2
-x2+2x+15 =0
Square each binomialTransposeCombine Like TermsTranspose x2
Click to Continue
-1{-x2+2x+15 =0}-1
X2-2x-15 =0
(x-5)(x+3) = 0
Multiply each sides by -1FactorEquate each factor to 0
x-5=0
X=5
x+7=12
X+8=13
X+3=0
X=-3
X+7=4X+8=5
Transpose x2
Click to Continue
c2 = a2 + b2
(13)2 = (5) 2 +(12) 2
169 = 25 + 144
169 = 169
Now Let us CheckSince the length of the side cannot be
Negative, we will only check the Positive
Value
Substitute the values in the pythagorean
theoremSquare each valueAdd 25 to 144
Check if the sum is the same with 169Check if the sum is the same with 169
Click to Continue
Is the run 7m longer than the
rise?
5+7 = 12
12 = 12 YES
Add 5+7Check if the sum is the same with 12
Click to Continue
Is the ramp 8m longer than the
rise?
5+8 = 13
13 = 13 YES
Add 5+8Check if the sum is the same with 123
Click to Continue
The rise (x) is 5
The run (x+7) is 12
The ramp (x+8) is 13
Click to Continue
The Rise of the ramp is 5m, the
run is 12m and the ramp is 13m.
We can say that it is now safe to
unload cars.
Click to Continue
Ms. Salonga, an owner of a car company, needs to deliver the
ordered cars. She assigned Mr.Castillo to deliver the cars. He
usually uses a truck for the delivery and he is also a mechanic.
The inclined ramp used for loading cars in a truck is 8m longer
than the rise of the ramp. The run is 7m longer that the rise. How
long are the three sides of the ramp for the cars to be unloaded
safely?