Acar is driven 250 km west and then 98 km southwest (45∘) what is the displacement of the car from the point of origin (magnitude)

The displacement of the car from the point of origin (magnitude) = 326.729 km

Triangles are flat fields bounded by 3 intersecting sides and 3 angles

This side can be the same length or different.

If at an angle there is an angle of 90 degrees, this triangle is said to be a right angle

There is a hypotenuse in this triangle which is the sum of the two sides

where c = hypotenuse

This formula is known as the Pythagorean theorem which states that:

the hypotenuse or the longest side in a right triangle equal to the sum of the squares of the other sides.

While the angle formulas used are

sin a = front side / hypotenuse

cos a = side / hypotenuse

tan a = front / side

(The attached image )

We see the triangle ABC

to find the value of x we use the phytagorean formula

x² + x² = 98²

2x² = 98²

We add the x value on the x-axis to find the DE side

De = x + 250

DE = 319.2965

So the DC side is a slash from the ADC triangle

DC² = DE² + EC²

DC² = 106752.255

DC = 326,729

the Sin rule

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trigonometric ratio

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the triangle angle

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Prove the converse of the Pythagorean Theorem

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Use Pythagoras' theorem

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Keywords: Pythagoras' theorem, the trigonometric, hypotenuse

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