Question

Triangles A and B are congruent.
Find the perimeter of triangle A. Give your answer to 1 dp.​

Answer 1

Pythagorean Theorem: a² + b² = c²

If Triangle A ≅ Triangle B, then hypotenuse length of A would be 9 cm and the another side of triangle A is stay 6 cm.

`{6}^(2) + {x}^(2) = {9}^(2)`

`36 + {x}^(2) = 81`

`{x}^(2) = 81 - 36 = 45`

`45 = 3 √(5) = x`

Perimeter of triangle a :

`9 + 6 + 3 √(5) = 15 + 3 √(5)`

Hope this helps ^-^