Area of triangle A is 72.2 cm square.
Here, we are given that triangles A and B, as shown in the figure are congruent to each other.
They are also both right angle triangles.
The length of the hypotenuse of A is 17cm
and the height of triangle be = 12cm
Bute as these two are congruent, height of triangle A will also be 12cm.
Now, according to Pythagoras theorem,
hypotenuse^2 = height^2 + base^2
⇒ 17^2 = 12^2 + base^2
289 = 144 + base^2
base^2 = 145
base = 12.04
Thus, the area of the triangles = 1/2 × base × height
= 1/2 × 12 × 12.04
= 72.2
Thus the area of triangle A will be 72.2 cm square.
Learn more about congruent triangles here-
https://brainly.com/question/2938476
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