Question

Find the length of the missing side in the triangle use the 45-45-90 triangle theorem

Answer 1

x = 7
`√(2)` , y = 7

Explanation:

the base angles of the triangle are congruent, both 45° , thus the triangle is isosceles with congruent legs , then

y = 7

using Pythagoras' identity in the right triangle

x² = 7² + 7² = 49 + 49 = 98 ( take square root of both sides )

x =
`√(98)` =
`√(49(2))` =
`√(49)` ×
`√(2)` = 7
`√(2)`