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

Triangles A and B are congruent. Find the area of triangle A. Give your answer to-example-1
User Bhomass
by
3.9k points

1 Answer

3 votes

Answer:

A ≈ 117.3 cm²

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

User Ruger
by
4.4k points