Lefebvreidn
Answered

Magtanong at makakuha ng mga sagot ng eksperto sa IDNStudy.com. Alamin ang mga maaasahang sagot sa iyong mga tanong mula sa aming malawak na kaalaman sa mga eksperto.

By cutting it into 10 congruent right angled triangles, work out the area of a regular pentagon of perimeter 80cm.

By Cutting It Into 10 Congruent Right Angled Triangles Work Out The Area Of A Regular Pentagon Of Perimeter 80cm class=

Sagot :

Mlcparra16idn
Since the perimeter is 80cm, the length of one side is 80/5 = 16cm. When we draw a straight line from the vertices to the median of the opposite side, we form ten triangles. We just need to focus on one. Please refer to the figure attached.

We know that the length of the base is 16/2 = 8cm. We let the height be a.
This would mean that:
tan(54°)=a/8
We just get the decimal approximation:
1.3764 = a/8
1.3764*8 = a
11.0112 = a

The area of the pentagon is 10 times the area of the triangle:
10[8*11.0112/2] = 10[44.0448] = 440.448 cm²
Natutuwa kami na ikaw ay bahagi ng aming komunidad. Huwag kalimutang bumalik upang magtanong at magbahagi ng iyong karanasan. Sama-sama tayong magpapaunlad ng kaalaman para sa lahat. Salamat sa pagbisita sa IDNStudy.com. Bumalik ka ulit para sa mga sagot sa iyong mga katanungan.