Question

Diagram not drawn to scale.
What is the area of the yellow
circle which is inscribed in a
5,12,13 right-angled triangle?
Leave your answer in
terms of ri.
5
13
12​

Answer 1

Answer:

here's your answer

Step-by-step explanation:

Pythagoras' Theorem

Pythagoras' Theorem relates the length of the hypotenuse of a right-angled triangle

to the lengths of the other two sides.

The hypotenuse is always the longest side: it is always the

side opposite the right angle.

The diagram opposite shows a right-angled

triangle. The length of the hypotenuse is

5 cm and the other two sides have lengths

3 cm and 4 cm.

In this diagram, a square, A, has been

drawn on the 3 cm side.

Area of square A = 3 3 ×

= 9 cm2

In this diagram, a second square, B, has

been drawn on the 4 cm side.

Area of square B = 4 × 4

= 16 cm2

Squares A and B together have total area:

Area A + Area B = 9 16 +

= 25 cm2

Finally, a third square, C, has been

drawn on the 5 cm side.

Area of square C = 5 5 ×

= 25 cm2

We can see that

Area A + Area B = Area C.

This formula is always true for right-angled triangles.