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6 of 6

Triangles A and B are congruent.

Find the area of triangle A. Give your answer to 1 dp.

area =

17cm

108 cm²

area = cm²

A

Not drawn accurately.

B

12cm

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6 of 6 Triangles A and B are congruent Find the area of triangle A Give your answer to 1 dp area 17cm 108 cm²

Answer :

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

But as these two are congruent,

height of triangle A will also be 12cm.

Now, according to Pythagoras theorem,

[tex]hypotenuse^{2} = base^{2} +height^{2}[/tex]

[tex]17^{2}[/tex] = [tex]12^{2}[/tex] + [tex]base^{2}[/tex]

289 = 144 + [tex]base^{2}[/tex]

[tex]base^{2}[/tex] = 145

base = 12.04

Thus, the area of the triangles = 1/2 * base height

= 1/2 x 12 x 12.04

= 72.2

Thus the area of triangle A will be 72.2 cm square.

Learn more about congruent triangles here-brainly.com/question/2938476

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