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lapo4ka [179]
3 years ago
13

PLEASe HELP!!!!!!!!!!!!! i will give brainliest just pleeeeeesssaasassssszffdtrgfgsthg

Mathematics
1 answer:
postnew [5]3 years ago
5 0

Answer:

7a²/16

Step-by-step explanation:

Area of the triangle PTS

½ × a × a

a²/2

Length of PS:

sqrt(a² + a²)

asqrt(2)

Length of MS:

¼asqrt(2)

Triangles MCS and TPS are similar

With sides in the ratio:

¼asqrt(2) : a

sqrt(2)/4 : 1

Area of triangle SMC:

A/(a²/2) = [(sqrt(2)/4)]²

2A/a² = 1/8

A = a²/16

Area of PTMC

= a²/2 - a²/16

= 7a²/16

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