Current location - Recipe Complete Network - Catering franchise - The Pythagorean Theorem of Wenzhou 2111 has a long history, which has aroused many people's interest. In 1955, Greece issued two pieces with Pythagorean theorem as the background.
The Pythagorean Theorem of Wenzhou 2111 has a long history, which has aroused many people's interest. In 1955, Greece issued two pieces with Pythagorean theorem as the background.

solution: extend the QR of BA intersection to point m and connect AR, AP.

∵ AC = GC, BC=FC, ∠ACB=∠GCF,

∴△ABC≌△GFC,

∴.

∴∠ RHA+∠ DAH = 181,

∴∠ RHA = ∠ BAC = 31,

∴∠ QHg = 61,

Cos 31 = 4× 32 = 23.

then qh = ha = Hg = AC = 23.

in right angle △HMA, HM=AH? sin61°=23×32=3．AM=HA? Cos61 = 3.

In right-angle △AMR, Mr = AD = AB = 4.

∴ QR = 23+3+4 = 7+23.

∴ Qp = 2QR = 14+43.

PR = QR. 3 = 73+6.

The circumference of ∴△ PQR is equal to RP+QP+QR = 27+133.

So the answer is: 27+133.

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