The legs of a right triangle measure 8 inches and 12 inches.What is the area of the triangle?
1 answer:
Answer:
The area of the triangle is 48 in².
Step-by-step explanation:
A right triangle is a triangle formed when to legs come together to make a 90° angle. The 'legs' of the triangle can also be called referred to the base and the height of the triangle. The general formula for the area of a triangle is:
A = b*h, where b = base and h = height
In this case, the leg measures are given as 8 inches and 12 inches, so we can put these values into our formula to solve for area:
A = (8)(12) = 48
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Answer:
- distance traveled: 30 m
- displacement: 21.4 m
Step-by-step explanation:
You want the distance traveled and the displacement after walking 17 m south and 13 m east.
<h3>Distance</h3>The distance traveled is the sum of the lengths of each leg of the trip:
17 m + 13 m = 30 m
You have traveled a distance of 30 m.
<h3>Displacement</h3>The displacement is the distance from your final position to your starting position. If you draw a diagram of the journey, you see the displacement is the hypotenuse of a right triangle with legs 17 m and 13 m. The Pythagorean theorem can help you find this length:
h = √(a² +b²)
h = √(17² +13²) = √(289 +169) = √458 ≈ 21.401
At the end of your walking, you are 21.4 m from where you started.
The diagram shows that the triangles on the graph had similar ratios, as such their vertical heights to their horizontal are equivalent.
Option D is correct.
<h3>What is the slope of a graph?</h3>The slope of a graph determines the steepness of the graph and it is the difference between two points on the y-coordinate(rise) and the difference between two points on the x-coordinate(run).
From the diagram attached, we can see that the triangles on the graph had similar ratios, as such their vertical heights(y-coordinates) to their horizontal (x-coordinates) are equivalent.
Learn more about the slope of a graph here:
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