Question

# Is it possible to construct quadrilateral $$ABCD$$ in which $$AB= 3 \text{ cm}$$  , $$BC = 4 \text{ cm}$$  , $$CD = 5.4\text{ cm}$$  , $$DA = 5.9 \text{ cm}$$ and diagonal $$AC = 8\text{ cm}$$? If not, why?

Solution

## Given measures are $$AB = 3\text{ cm} , BC = 4\text{ cm}, CD = 5.4\text{ cm}, DA = 5.9\text{ cm}$$ and $$AC = 8\text{ cm}$$ Here, consider the $$\triangle ABC$$ within the quadrilateral.$$AB + BC = 3 + 4 = 7\text{ cm}$$ and $$AC = 8\text{ cm}$$ i.e., the sum of two sides of a triangle is less than the third side, which is absurd. Hence, we cannot construct such a quadrilateral. Maths

Suggest Corrections

0

Similar questions
View More

People also searched for
View More
{"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "url": "https://byjus.com/question-answer/is-it-possible-to-construct-quadrilateral-abcd-in-which-ab-3-text-cm-bc-4/", "fetch_time": 1642735268000000000, "content_mime_type": "text/html", "warc_filename": "crawl-data/CC-MAIN-2022-05/segments/1642320302715.38/warc/CC-MAIN-20220121010736-20220121040736-00495.warc.gz", "warc_record_offset": 218935680, "warc_record_length": 19274, "token_count": 254, "char_count": 708, "score": 4.09375, "int_score": 4, "crawl": "CC-MAIN-2022-05", "snapshot_type": "latest", "language": "en", "language_score": 0.7735437750816345, "file_path": "/sailhome/yjruan/project/latent-lm/data/processed/finemath-4plus/finemath-4plus/train-00001-of-00064.parquet"}