Roboguru

Pada gambar disamping, diketahui panjang  cm dan  cm. Hitunglah: c. luas .

Pertanyaan

Pada gambar disamping, diketahui panjang begin mathsize 14px style B D equals 6 end style cm dan begin mathsize 14px style B C equals 14 end style cm.

Hitunglah:

c. luas begin mathsize 14px style increment A B C end style.

Pembahasan Soal:

Diketahui panjang begin mathsize 14px style B D equals 6 end style cm dan begin mathsize 14px style B C equals 14 end style cm. Luas begin mathsize 14px style increment A B C end style:

begin mathsize 14px style L subscript increment A B C end subscript equals 1 half cross times a l a s cross times t i n g g i L subscript increment A B C end subscript equals 1 half cross times B C cross times A D L subscript increment A B C end subscript equals 1 half cross times 14 cross times A D end style 

maka cari panjang AD terlebih dahulu dengan cara:

begin mathsize 14px style A D squared equals B D cross times C D A D squared equals 6 cross times 8 A D squared equals 48 space A D equals square root of 48 space A D equals square root of 16 cross times 3 end root space A D equals 4 square root of 3 end style  

sehingga:

size 14px L subscript size 14px increment size 14px A size 14px B size 14px C end subscript size 14px equals size 14px 1 over size 14px 2 size 14px cross times size 14px a size 14px l size 14px a size 14px s size 14px cross times size 14px t size 14px i size 14px n size 14px g size 14px g size 14px i size 14px L subscript size 14px increment size 14px A size 14px B size 14px C end subscript size 14px equals size 14px 1 over size 14px 2 size 14px cross times size 14px B size 14px C size 14px cross times size 14px A size 14px D size 14px L subscript size 14px increment size 14px A size 14px B size 14px C end subscript size 14px equals size 14px 1 over size 14px 2 size 14px cross times size 14px 14 size 14px cross times size 14px A size 14px D size 14px L subscript size 14px increment size 14px A size 14px B size 14px C end subscript size 14px equals size 14px 1 over size 14px 2 size 14px cross times size 14px 14 size 14px cross times size 14px 4 square root of size 14px 3 size 14px L subscript size 14px increment size 14px A size 14px B size 14px C end subscript size 14px equals size 14px 1 over size 14px 2 size 14px cross times size 14px 56 square root of size 14px 3 size 14px L subscript size 14px increment size 14px A size 14px B size 14px C end subscript size 14px equals size 14px 28 square root of size 14px 3 

Jadi, luas begin mathsize 14px style increment A B C end style adalah begin mathsize 14px style 28 square root of 3 space cm squared end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 02 Maret 2021

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Ruangguru

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ikuti Kami

©2021 Ruangguru. All Rights Reserved