Question

A right triangle has legs of 4 and 5. What is the hypotenuse?

A right triangle has a hypotenuse of 13 and a leg of 8. What is the other leg?

-I dont understand this :(

Answer 1

Pythagorean theorem: a^2 + b^2 = c^2. a abd b represents the two legs, and c represents the hypotenuse

Answer 2

a and b*

Answer 3

4^2 + 5^2 = c^2.
first find out what 4^2 and 5^2 is

Answer 4

You need to use the Pythagorean Theorem, which is a² + b² = c²
c is the hypotenuse, the longest side, and a + b are the legs.

You plug in what you know, then solve
For the first one: 4² + 5² = c²
The second one: a² + 8² = 13²

Now just solve it \(\huge\ddot\smile\)

Answer 5

for the first one i got 41?

Answer 6

yea, that when you add 4^2 and 5^2 but now you have to find the square root of 41 to get your hypotenuse

Answer 7

that's*

Answer 8

6.4

Answer 9

yup

Answer 10

do you know how to do the second one?

Answer 11

nope

Answer 12

ok, so the theorem is a^2 + b^2 = c^2. we know what one of the legs is, a, and what the hypotenuse is, c. so after we put in the numbers, our equation will look like this: 8^2 + b^2 = 13^2

Answer 13

so 64 + b^2 = 169

Answer 14

how do you solve for b?

Answer 15

i was always told to subtract

Answer 16

yea, so subtract 64 from 169

Answer 17

then find the square root

Answer 18

10.2

Answer 19

yep, so there's your answer. do you understand what you did to get it?