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.

${6}^{2} + {x}^{2} = {9}^{2}$

$36 + {x}^{2} = 81$

${x}^{2} = 81 - 36 = 45$

$45 = 3 \sqrt{5} = x$

Perimeter of triangle a :

$9 + 6 + 3 \sqrt{5} = 15 + 3 \sqrt{5}$

Hope this helps ^-^