What is the length of the hypotenuse of this triangle? round to the nearest tenth

√29 or 5.4

Step-by-step explanation:

Given in the question a right angle triangle

height of right angle triangle = 5

base of right angle triangle = 2

hypotenuse of right angle triangle = x

We will use pythagorus theorem

hypotenuse² = base² + height²

x² = 5² + 2²

x² = 25 + 4

x² = 29

x = √29

x = 5.4

The length of the hypotenuse of this triangle is 5.4

Step-by-step explanation:

For a given Triangle

Let the Triangle ABC

m∠B = 90°, AB = 5, BC = 2, AC = ?

Now, By Pythagoras Theorem

AC² = AB² + BC²

AC² = (5)² + (2)²

AC² = 25 + 4

AC² = 29

AC = √29 = 5.4

Thus, The length of the hypotenuse of this triangle is 5.4

-TheUnknownScientist

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.

the five is the numerator