https://repository.kcau.ac.ke/handle/123456789/1398 2026-04-25T20:11:53Z 2026-04-25T20:11:53Z KCAU Library https://repository.kcau.ac.ke/handle/123456789/1588 2025-08-04T00:02:42Z 2025-08-03T00:00:00Z

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2025-08-03T00:00:00Z Kiragu, Antony W https://repository.kcau.ac.ke/handle/123456789/1571 2025-03-22T00:00:34Z 2025-01-01T00:00:00Z

Triangle Cevian and Side Relations for The Concurrent Case and The General Non-Concurrent Case Kiragu, Antony W I began this research study by first going through some existing work on triangle geometry and I came across some interesting theorems, namely Ceva’s theorem, Menelaus’ theorem, Steiner-Routh’s theorem and Van Aubel’s theorem. By studying the above theorems and through some friends I realized that I could develop a new approach of studying and analyzing the cevian and side segments of any triangle using a set of six linear equations that I have derived in this paper. The main contribution of this study is the proving Ceva's theorem and Menelaus' theorem, using a set of six equations derived using vectors. The equations are based on the proportions of the sides and cevians of a triangle and provide a unique and unconventional approach to solving problems in this field. One of the unique aspects of this approach is the use of vectors to derive the six equations. This paper presents the equations together with their derivations. I have shown how the six equations can be used as the basis of proving some famous triangle theorems. In addition to proving these existing theorems, I have also proven some relatively uncommon results in triangle geometry that can be useful for further research in this area. This therefore shows that these equations have the potential to reveal even deeper concepts on triangle Geometry that may have previously been unknown in triangle geometry.

2025-01-01T00:00:00Z Owino, Edward Ndungu, Juliet W https://repository.kcau.ac.ke/handle/123456789/1562 2024-10-02T08:19:13Z 2024-01-01T00:00:00Z

Influence of Internal Factors on Strategy Implementation in the Ministry of Land and Physical Planning, Kenya Owino, Edward; Ndungu, Juliet W Purpose: The current study sought to unveil the influence of internal factors on implementation of strategies in the Ministry of Lands and Physical Planning in Kenya. The study centered on specifically establishing the influence of organization structure, organization leadership, organization culture and organization resources on strategy implementation in the Ministry of Lands in and Physical Planning in Kenya. The study was anchored on Contingency Theory, Path-Goal Leadership theory, Schein’s Theory of Organization Culture and Resource Based View Theory. Methodology: The study employed a descriptive research design and targeted the Ministry of Lands and Physical Planning. The unit of observation of comprised of 409 staffs from the ministry in top, middle and lower management positions in the ministry’s head office. Fishers Sampling Formula was used in developing a sample of 198 respondents. The study relied on primary data where a five point likert scale questionnaire was utilized to gather primary data. Both descriptive and inferential statistics were employed in analyzing the collected data. SPSS and MS excel was adopted to generate the statistics. Findings: The results of the study were displayed in form of tables and figures. Prior collection of data, a pilot study was conducted on 10 randomly selected respondents from the ministry to assess the validity and reliability of the questionnaire. The respondents in the pilot study were exempted in the final study. The study established that organization structure, organization leadership, organization culture and organization resources bears a positive and significant influence on strategy implementation in the Ministry of Lands in and Physical Planning in Kenya. This is shown by beta values of 0.296, 0.473, 0.377 and 0.596 and significant values of 0.006, 0.000, 0.000 and 0.000 respectively. Unique Contribution to Theory, Practice and Policy: The results bears the implications that increasing each of the variables with one unit results into increase in the levels of on strategy implementation in the Ministry by respective beta values. The study concluded that internal factors comprising of organization structure, organization leadership, organization culture and organization resources positively and significantly influences implementation of strategies in the Ministry of Lands and Physical Planning in Kenya. The study recommended the ministry to enhance each aspect of the internal factors considered in the study during strategy implementation since the practice positively influences strategy implementation.

2024-01-01T00:00:00Z OPAC, GUIDE https://repository.kcau.ac.ke/handle/123456789/1541 2024-04-04T00:00:21Z 2024-01-01T00:00:00Z

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