Question

The first angle of a triangle is 10 degrees smaller than the second angle. The third angle is 10 degrees less than twice the second angle. Show that this is a right triangle.

Answer 1

think of the angles as A B and C.

Answer 2

A=b-10

Answer 3

c=2b-10

Answer 4

A+B+C=180

Answer 5

that should help you solve it.

Answer 6

Yeah, I get it know :) Thank you. I was taking the wrong approach before.

Answer 7

Wait..

Answer 8

I set it up as
b-10+2b-10=180
3b-20=180
3b=200
b=66.67?

Answer 9

B=180-A-C
B=180-(b-10)-(2b-10)
B=180-3b-20
B=160-3b?

Answer 10

You forgot the third angle before :
(b-10)+b+(2b-10)=180

Answer 11

Oh..
4b-20=180
4b=200
b=50?

Answer 12

Yep !

Answer 13

then I plug it in and I get my other two angles right?

Answer 14

Exactly :)

Answer 15

I got it, thank you :)

Answer 16

Welcome !