Question

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

Answer 1

Answer:

A ≈ 117.3 cm²

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

Area of a Triangle: A = 1/2bh

If Triangle A ≅ Triangle B, then the bottom side length of A would be 11 cm and the hypotenuse will stay 24 cm.

Step 1: Find the vertical leg of A

11² + b² = 24²

121 + b² = 576

b² = 455

b = 21.3307 cm

Step 2: Find area of A

A = 1/2(11)(21.3307)

A = 1/2(234.638)

A = 117.319

A ≈ 117.3 cm²