Question

1# A right triangle has a hypotenuse with length 8 m and a leg of length 5.2 m.What is the length of the other leg of the right triangle? Enter the answer, rounded to the nearest hundredth, in the box.

2# A right triangle has legs of length 136 cm and 119 cm.What is the
length of the hypotenuse of the right triangle? Enter the answer, rounded to the nearest tenth, in the box.


3# The Pythagorean theorem states that a² + b² = c² for a right triangle with leg lengths, a and b, and hypotenuse length, c. The hypotenuse of a right triangle is 5 units long and has the points (3, 0) and (0, 4) as end points. One of the legs has length 3. Use the Point and Segment tools to draw a right triangle at demonstrates the other leg length is 4.

I REALLY NEED HELP PLEASE HELP ME and the screenshot is for the last question.

Answer 1

how is this middle school work

Explanation:

tell your teacher you need help

Answer 2

The length of other leg is :
`\( b \approx 6.08 \) m`

The length of hypotenuse of right triangle is :
`\( c \approx 180.7 \) cm`

To solve both problems, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b):

`\[ c^2 = a^2 + b^2 \]`

For problem #1:

Given the hypotenuse c = 8 m and one leg a = 5.2 m, we can find the length of the other leg b using the rearranged Pythagorean theorem:

`\[ b = √(c^2 - a^2) \]`

We will calculate this to find the length of the other leg, rounding to the nearest hundredth.

For problem #2:

Given the two legs a = 136 cm and b = 119 cm, we can find the hypotenuse c using the Pythagorean theorem:

`\[ c = √(a^2 + b^2) \]`

We will calculate this to find the length of the hypotenuse, rounding to the nearest tenth.

Let's do these calculations.

For problem #1, the length of the other leg of the right triangle is 6.08 m when rounded to the nearest hundredth.

For problem #2, the length of the hypotenuse of the right triangle is 180.7 cm when rounded to the nearest tenth. Here are the step-by-step calculations for each:

**Problem #1**:

1. Use the Pythagorean theorem:
`\( c^2 = a^2 + b^2 \)`

2. Rearrange to solve for the missing leg:
`\( b = √(c^2 - a^2) \)`

3. Substitute the known values:
`\( b = √(8^2 - 5.2^2) \)`

4. Calculate and round to the nearest hundredth:
`\( b \approx 6.08 \) m`

Problem #2:

1. Use the Pythagorean theorem:
`\( c^2 = a^2 + b^2 \)`

2. Substitute the known values:
`\( c = √(136^2 + 119^2) \)`

3. Calculate and round to the nearest tenth:
`\( c \approx 180.7 \) cm`