Question

Help me on this please I’d appreciate it

Answer 1

The hypotenuse would be 87.2

Explanation:

We start by plugging in 13 for x for both sides of the triangle.

`5(13)+5 = 70` and
`4(13) = 52`.

Next, we use the Pythagorean theorem

`a^2+b^2=c^2`

We plug in 70 for a and 52 for b

After plugging them in, you get
`4900+2704=c^2`

Now, we add a and b

`7604=c^2`

Finally, take the sqrt of 7604

c = 87.2009174264, rounded to the nearest tenth is 87.2

Answer 2

Hypotenuse = 87.2

Explanation:

First find the lengths of the legs given the value of x

Left leg : 5x + 5

x = 13

5(13)+5

65 + 5 = 70

Bottom Leg : 4x

x = 13

4(13) = 52

So we have legs with lengths of 70 and 52 and knowing this we want to find the length of the hypotenuse.

We can do this by using the Pythagorean Theorem : a² + b² = c²

Where a and b = legs and c = hypotenuse

We are given the legs and we want to find the hypotenuse (c)

We can do this by plugging in the values of the legs into the Pythagorean Theorem and solving for c

Pythagorean Theorem : a² + b² = c²

a = 52 and b = 70

52² + 70² = c²

52² = 2704 and 70² = 4900

2704 + 4900 = c²

7604 = c²

take the square root of both sides

√7604 = 87.2 ( rounded to the nearest tenth ) and √c² = c

We're left with c = 87.2

The length of the hypotenuse is 87.2