In a 30-60-90 triangle, what is the length of the hypotenuse when the shorter leg is 5 cm?

Mathematics

1 answer:

zheka24 [161]3 years ago

3 0

Shorter Leg=x

Hypotenuse=2x

Shorter Leg=5cm

Hypotenuse= 10cm

You might be interested in

Find the zeros of the quadratic function: f(x) = x2 + 8x – 20 0 = ax2 + bx + c What is the factored form of the function? What a

Ilia_Sergeevich [38]

The factored form of the equation is f(x) = (x - 2)(x + 10), which makes the zeros of the function x = -10 and x = 2.

In order to factor a quadratic like this, you must find factors of the constant (in this case -20). The pairs of factors are listed below.

1 and -20

-1 and 20

2 and -10

-2 and 10

4 and -5

-4 and 5

Now we must pick out the pair that add to the coefficient of x.

1 and -20

-1 and 20

2 and -10

-2 and 10

4 and -5

-4 and 5

Once you've picked out those numbers, you can place each in a parenthesis with x.

f(x) = (x - 2)(x + 10)

Then to find the zeros to the equation, set each parenthesis equal to 0 and solve.

x - 2 = 0

x = 2

x + 10 = 0

x = -10

3 0

3 years ago

Read 2 more answers

Benton has an extension ladder than can only be used at a length of 10 feet, 15 feet, or 20 feet. He places the base of the ladd

Dmitriy789 [7]

A. 10 feet.

Think of it like this:

The wall is upright, it's 90° and it's 8 feet high. The distance from the bottom of the ladder to the bottom of the wall (along the ground, which is perpendicular to the wall) is 6 feet. When Benton places the base of the ladder 6 feet away from the wall and the top is resting at the top of the wall, it looks like a triangle, right?

Using pythagoras (this rule about right-angled triangles and stuff), we can already see that the two sides when simplified are 3:4. Because the 'triangle' is a right-angled triangle, the other side HAS to be 5 to complete the ratio. We just multiply it by 2 to get the correct ratio and that's your answer!