contestada


The shape of a piece of cardboard is shown below. The right angles at two corners and the lengths of two sides are marked.

Jeremiah will make exactly one straight cut from the top edge of the cardboard to point S in order to cut the cardboard into a rectangle.
How far from P should Jeremiah start his cut?


A. 3 inches
B. 4 inches
C. 5 inches
D. 6 inches

The shape of a piece of cardboard is shown below The right angles at two corners and the lengths of two sides are marked Jeremiah will make exactly one straigh class=

Respuesta :

Answer:

5 inches

Step-by-step explanation:

a^2 + b^2 = c^2

12^2 + b^2 = 13^2

144 + b^2 = 169

b^2 = 25

b = 5

varshamittal029

Jeremiah should start his cut 5 inches from P.

How far from P should Jeremiah start his cut?

In the figure PQRS,

QR= 12 in. & PS = 13 in.

∠Q=∠R=90°

Now, Jeremiah will make exactly one straight cut from the top edge of the cardboard to point S in order to cut the cardboard into a rectangle.

Let, Jeremiah cut PQ at point M, where SM⊥PQ

∴ ∠SMP = 90°, so ΔSMP is a right angle triangle.

After draw SM, SMQR will a rectangle.

Then, SM = QR = 12 in.

By pythagoras theorem,

PS²= SM²+PM²

⇒ PM²= PS²-SM²

⇒ PM²= 13²-12²

⇒ PM²= 169-144

⇒ PM = √ (25)

⇒ PM = 5   (Negative value is not possible)

So, PM = 5 inches

Learn more about rectangle here :

https://brainly.com/question/17065463

#SPJ2

Otras preguntas