Question

For Exercises 6-8, is RST a right triangle? Explain.

6. RS= 20, ST = 21, RT = 29

Answer 1

Yes, this triangle is a right triangle by the Pythagorean theorem and law of inequality.

Explanation:

First, let us check if this even is a triangle. The way we can do this is by doing the law in inequity. This law states that if sides a, b, c;

a+b > c; b+c > a; c+a > b.

20 + 21 > 29; 21 + 29 > 20; 20 +29 > 21

41 > 29 ✓ 50 > 20 ✓ 49 > 21✓

So this is a triangle

So know we know this is a triangle to check if it is a right triangle you can do the Pythagorean theorem.

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

`20^2+21^2=29^2 ?`

`400 + 441 = 841?`

`841=841?`

So this triangle is a right triangle