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Mariulka [41]
3 years ago
7

9. The diagram shows a triangle inscribed in a circle with centre O.

Mathematics
1 answer:
cluponka [151]3 years ago
6 0

Answer:

25π

Step-by-step explanation:

let c = length of third side of triangle

since you are working with a right triangle you can find the third side by using the pythagorean theorem:  8^2 + 6^2 = c^2

64 + 36 = c^2

100 = c^2

c = 10

10 is also the diameter of the circle and radius is 5

A = π · r²

A = 5^2÷ (3 ^4 · x^24 · y^12)

A = 25π

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Answer:

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Step-by-step explanation:

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Now the two triangles form a quadrilateral, which we can prove is a parallelogram by finding out that the opposite sides of the parallelogram are equal since the two triangles are the same(congruent), and they are also parallel as the alternate interior angles of quadrilateral are the same. So the quadrilaral is a paralllelogram, therefore the area of a parallelogram is bh which id 7 * 4 = 7*2=28 sq units.

Since we already established that the triangles in the parallelogram are the same, therefore their areas are also the same, and that the area of the parallelogram is 28 sq units, we can say that A(Q)+A(Q)=28 sq units, therefore 2A(Q)=28 sq units, therefore A(Q)=14 sq units, where A(Q), is the area of triangle Q.

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