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?