Question

If b = 7, then the value of c is...

Answer 1

Second option

Explanation:

It is a right triangle isosceles

a = b = 7

c = hypotenuse

`c =\sqrt{7^(2)+7^(2) } =√(49+49) =√(2(49))=7√(2)`

Hope this helps

Answer 2

7
`√(2)`

Explanation:

The triangle shown is a 45-45-90 triangle. This name comes from the fact the 3 angle measurements are 45, 45, and 90 degrees.

If needed, you could find the missing angle using the equation: 180 - (45 + 90) = x.

Special Right Triangles

Special right triangles allow us to use formulas and shortcuts to find missing sides easily. Another type of special right triangle is the 30-60-90 triangle. While both of these are special right triangles, they have different formulas.

Formulas

All 45-45-90 triangles have 2 types of sides: the legs (a and b) and the hypotenuse (c).

• c = b
  `√(2)`
• b = a
• a = b

In these triangles, both of the legs are congruent.

Solving for c

Since we are given b, we can just plug the b-value into the formula that solves for c.

• c = 7
  `√(2)`

The answer cannot be simplified further, so this is the final answer.