Question

Draw a right triangle and label the legs 1 and 1 as shown below:

A right triangle is shown. Both legs are labeled 1 and the hypotenuse is labeled c. The two non right angles inside the triangle are labeled a and b.

Find the missing side length for c and the missing angle measures for a and b in the image above. Write a paragraph telling how you found the missing values. You must show all work to receive credit.

Answer 1

@SolomonZelman I need help

Answer 2

there is only one case, when 2 legs are equivalent in a right triangle.
if you don't know yet which case it is we can find out now.

Answer 3

okay..

Answer 4

you have 2 non-right angles (and they are same since they form the same sides).
and the 3rd triangle is 90 degrees.

we know that the sum of angles in a triangle is equivalent to 180 degrees.
you can call "a" - x (and since "b" is same as "a" we can call "b" - x, as well).

Answer 5

\(\large\color{black}{ \displaystyle x+ x+ 90=180 }\)

Answer 6

~) does this setup make sense?
~) can you solve for x? (what do you get?)

Answer 7

kindov... X??

Answer 8

alright... what does NOT make sense so far ?

Answer 9

the x part..

Answer 10

do you understand when I say that angle "a" and angle "b" must be equivalent, because they form the sides of the same length?

Answer 11

ya i do...

Answer 12

"the sum of all angles in a triangle is 180 degrees" is that clear ?

Answer 13

(this is true about any triangle)

Answer 14

ya I know soo...

Answer 15

c = 1 2 + 1 2 = 2

Answer 16

I meant 1 sqaured 2

Answer 17

So, a and b are both equivalent to each other, and sum of all angles in a triangle is 180.
so this is what we can say

a + b + 90 = 180
a + a + 90 =180

a=?

Answer 18

60

Answer 19

a + a + 90 = 180
a + a + 90 - 90 = 180 - 90
a + a = 90
2a = 90
a = ?

Answer 20

i dunno

Answer 21

divide by 2 on both sides

Answer 22

45

Answer 23

@SolomonZelman

Answer 24

yes

Answer 25

you are done I guess... we found the a and b

Answer 26

Okay Thanx @SolomonZelman Ur help was the best!

Answer 27

I am lagging, would have replied faster otherwise.