competition maths

[shy sail]

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[weary sun]

First we need to understand the problem and variables. Keep in mind S is the midpoint of CD, dividing it into two equal parts. (some of my friends forget)

Then we apply the incircle radius formula for ASD and BSC

What is the inradii of ASD and BSC?

r = a/s

[uncut fog]

3？

[uncut fog]

im kind of confused about this

[ripe vine]

r is the inradius, a is the area of the triangle, s is the semi-perimeter

it’s possible you could create a system of equations based on pythagorean theorem and the r=a/s formula

[weary sun]

yes

What are the area and semi-perimeter of each triangle (ASD and ASB( in terms of the rectangle's dimensions a and b?

Can you use the formula for the inradius r = a/s to write equations for both triangles?

[uncut fog]

i get it now!! thank you so much!!

[weary sun]

np

[thin rampart]

@uncut fog

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