118k views
21 votes
Which one is right triangle angle
a. 45, 55 and 35
b. 52, 48 and 20​

Which one is right triangle angle a. 45, 55 and 35 b. 52, 48 and 20​-example-1
User Jeff Holt
by
3.8k points

1 Answer

5 votes

option b. 52, 48 and 20

Explanation:

let's solve:-

  • To test whether given this triangle is right triangle or not, we can use the Pythagorean Theorem .

soo

Pythagorean Theorem=


\bold \green{(leg1)^(2) +(leg2)^(2) =(hypotenuse)^(2) }

_____________________________________

Here:-


\bold \blue{leg \: 1 = 48} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \bold \blue{ leg2 = 20} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \bold\blue{hypotenuse = 52}

Putting values:-


{48}^(2) + {20}^(2) = {52}^(2) \: \: \: \: \: \: \\ \\ 2304 + 400 = 2704 \\ \\ 2704 = 2704 \: \: \: \: \: \: \: \: \: \: \: \: \: \:

_____________________________________

User Chris Gregg
by
3.9k points