Wednesday, April 14, 2021

Detyre me teoreme te Pitagores

Në një trekëndësh kënddrejtë lartësia mbi hipotenuzë është 6 cm dhe projeksioni i njërit katet është mbi hipotenuzë është 8 cm.

a) Gjeni gjatësinë e këtij kateti

b) Gjeni hipotenuzën dhe katetin tjetër

Zgjidhje

a) Kemi AH = 6 cm dhe BH = 8 cm.

Gjejmë katetin AB në bazë të teoremës së Pitagorës:

$\displaystyle {{\left( AB \right)}^{2}}={{\left( AH \right)}^{2}}+{{\left( BH \right)}^{2}}$
$\displaystyle {{\left( AB \right)}^{2}}={{6}^{2}}+{{8}^{2}}$
$\displaystyle {{\left( AB \right)}^{2}}=36+64=100$
$\displaystyle AB=\sqrt{100}=10~cm$ .

b) Për të gjetur hipotenuzën BC zbatojmë teoremën e dytë të Euklidit:

$\displaystyle {{\left( AB \right)}^{2}}=BH\cdot BC$

$\displaystyle 100=8\cdot BC$

$\displaystyle BC=\frac{100}{8}=12,5~cm$

Për të gjetur katetin tjetër përdorim teoremën e Pitagorës:

$\displaystyle {{\left( AC \right)}^{2}}={{\left( BC \right)}^{2}}-{{\left( AB \right)}^{2}}$

$\displaystyle {{\left( AC \right)}^{2}}=12,{{5}^{2}}-{{10}^{2}}$

$\displaystyle {{\left( AC \right)}^{2}}=156.25-100=56.25$

$\displaystyle AC=\sqrt{56.25}=7,5~cm$

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option_group, BRAVE_WELL_KNOWN_URI_OPTION_NAME, array($this, 'sanitize_field')); $options = get_option(BRAVE_WELL_KNOWN_URI_OPTION_NAME); if (!is_array($options)) $j = 1; else { $newopts = array(); for ($i = 1, $j = 1;; $i++) { if (!isset($options[BRAVE_WELL_KNOWN_URI_MATCHER_CONTENTS . $i])) break; if (empty($options[BRAVE_WELL_KNOWN_URI_MATCHER_CONTENTS . $i])) continue; /* courtesy of https://stackoverflow.com/questions/619610/whats-the-most-efficient-test-of-whether-a-php-string-ends-with-another-string#2137556 */ $reversed_needle = strrev('_' . $i); foreach($options as $key => $value) { if (stripos(strrev($key), $reversed_needle) !== 0) continue; $newopts[substr($key, 0, 1 + strlen($key) - strlen($reversed_needle)) . $j] = $value; } $j++; } update_option(BRAVE_WELL_KNOWN_URI_OPTION_NAME, $newopts); for ($j = 1;; $j++) if (!isset($newopts[BRAVE_WELL_KNOWN_URI_MATCHER_CONTENTS . $j])) break; $j = 1; } for ($i = 1; $i <= $j; $i++) { add_settings_section($section_prefix . $i, 'Enter your Publisher Verification Code Below and click "Save Changes"', array($this, 'print_section_info'), $this->slug); add_settings_field(BRAVE_WELL_KNOWN_URI_MATCHER_CONTENTS . $i, $contents_title, array($this, 'field_callback'), $this->slug, $section_prefix . $i, array('id' => BRAVE_WELL_KNOWN_URI_MATCHER_CONTENTS . $i, 'type' => 'textarea')); } } public function print_section_info() {} public function field_callback($params) { $id = $params['id']; $type = $params['type']; $value = ''; $prefix = 'options[$id])) $value = esc_attr($this->options[$id]); $suffix = '" />'; } elseif ($type === 'textarea') { $prefix = ''; } echo($prefix . $value . $suffix); } public function sanitize_field($input) { $valid = array(); for ($i = 1;; $i++) { if (!isset($input[BRAVE_WELL_KNOWN_URI_MATCHER_CONTENTS . $i])) break; $valid += $this->sanitize_suffix($input, BRAVE_WELL_KNOWN_URI_MATCHER_SUFFIX . $i); $valid += $this->sanitize_type($input, BRAVE_WELL_KNOWN_URI_MATCHER_TYPE . $i); $valid += $this->sanitize_contents($input, BRAVE_WELL_KNOWN_URI_MATCHER_CONTENTS . $i); } return $valid; } public function sanitize_suffix($input, $id) { $valid = array(); if (empty($input[$id])) { $input[$id] = 'brave-payments-verification.txt'; $valid[$id] = $input[$id]; return $valid; } if (!isset($input[$id])) return $valid; $result = trim(sanitize_text_field($input[$id]), '/'); if (strstr($result, '/') !== FALSE) { add_settings_error($id, 'invalid_suffix', __('URI path must not contain "/"') . 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'/' . $subtype; for ($i = 1; $i < count($parts); $i++) { list($attribute, $value) = explode('=', $parts[$i]); $attribute = trim(sanitize_text_field($attribute)); if (empty($attribute)) { add_settings_error($id, 'missing_attribute', __('Content-Type missing attribute'), 'error'); $validP = FALSE; continue; } if (!preg_match($token, $attribute)) { add_settings_error($id, 'invalid_mime_attribute', __('Content-Type invalid attribute') . ' - ' . $attribute, 'error'); $validP = FALSE; } $value = trim(sanitize_text_field($value)); if (empty($value)) { add_settings_error($id, 'missing_value', __('Content-Type missing value'), 'error'); $validP = FALSE; } if (!(preg_match($word, $value) || preg_match($string, $value))) { add_settings_error($id, 'invalid_mime_value', __('Content-Type invalid value') . ' - ' . $value, 'error'); $validP = FALSE; } $result .= '; ' . $attribute . 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Detyra të zgjidhura nga matematika

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Wednesday, April 14, 2021

Detyre me teoreme te Pitagores

Zgjidhje

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