Need answers ASAP (due today)

6) =approx 156.60 cm

7) =approx 687.68'

Step-by-step explanation:

6.  Let the shortest side of the triangle is AB=45 cm ( ∡A=90° so ABCD  is a rectangle). The middle side AD=150 cm.  The longest side is BD

The length of BD can be calculated using Phitagore theorem  because triangle BAD ia right angle.

BD=sqrt(AD²+AB²)=sqrt(2025+22500)=approx 156.60 cm

7. So we can create the model of the situation described in this problem.

The model is right-angle triangle ABC  with side AB=520'  ,side AC=450', right angle is A. So we have to find the length of side BC .

BC is hypotenuse of triangle ABC. We can find it  using Phitagore theorem again.

BC=sqrt(AC²+AB²)=sqrt(450²+520²)=sqrt(472900)=approx 687.68'

6. 156.6 cm

7. 687.7’

Step-by-step explanation:

45 cm and 150 cm are the legs of one triangle.

The longest side is the hypotenuse.

Apply Pythagorean theorem, since the two triangles are right triangles.

a² + b² = c²

a and b are the legs, c is the hypotenuse.

45² + 150² = c²

24525 = c²

√24525 = c

c = 156.604597634...

c ≈ 156.6

Brain hang-glided from a 520’ high cliff. He landed 450’ away from the base of the cliff. Create a right triangle and apply Pythagorean theorem. The distance he travelled is the hypotenuse of the triangle. The 520’ and 450’ are the legs.

a² + b² = c²

450² + 520² = c²

c² = 472900

c = √472900

c = 687.677249878...

c ≈ 687.7