The length of one leg of a right triangle is three times as large as the length of the other leg. If the hypotenuse has a length of 10 inches, which of the following is the perimeter of the triangle in inches? squareroot 10 4 squareroot 10 10 10 + squareroot 10 10 + 4 squareroot 10 Solution:The correct answer is E. If the length of the smaller leg is x then the larger leg is 3x, and by the Pythagorean Theorem, the hypotenuse is squareroot x^2 + 9x^2 = squareroot 10 x^2 = x squareroot 10 = 10, the given length. Solving for x, x 10/squareroot 10 = 10 squareroot 10/10 = squareroot 10, and the perimeter is squareroot 10 + 3 squareroot 10 + 10.

Step-by-step explanation:

Let the length of one leg of the right angle triangle=x

The length of the other leg is three times as large as the length of the other leg = 3x

The Length of the hypotenuse=10 inches

From Pythagoras theorem

The Lengths of the triangle are therefore:

Perimeter=Sum of all the lengths

Perimeter == 10 + 4√10

Step-by-step explanation:

Let the length of the smaller leg be x and thus since the bigger leg is 3 times the size of the smaller one, the bigger leg is 3x.

Now, from the question we are given that the hypotenuse is 10 inches.

Now since this is a right angle triangle, let's use Pythagoras theorem to which says;

a² + b² = c²

Where c is the hypotenuse, while a and b are the other sides of the triangle.

Thus, fixing x and 3x for a and b respectively and 10 for c, we have;

x² + (3x)² = 10²

So, x² + 9x² = 100

Thus, 10x² = 100

Divide both sides by 10 to get,

x² = 10

Take square root of both sides to get ; x = √10

Thus since one side is x and the other 3x,thus the dimensions of the triangle are √10, 3√10 and 10.

Now, perimeter of triangle is the sum of all 3 sides.

Thus perimeter = (√10) + 3(√10) + 10

= 10 + 4√10

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

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