Δίνεται ορθογώνιο τρίγωνο ΑΒΓ ([img width=56,height=23]data:image/png;base64,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[/img]) και ΑΔ η διχοτόμος της γωνίας [img width=10,height=23]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAXCAMAAAAFpC7KAAAAAXNSR0IArs4c6QAAAFpQTFRFAAAAAAAAAAA6ADpmADqQAGa2OjoAOjpmOjqQOma2OpC2OpDbZgAAZjo6Zrb/kDoAkJC2kLbbkNv/tmYAtmY6tpBm25A629u229v/2////7Zm/9uQ//+2///bTSZ63wAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAYklEQVQYV5WOSQ6AIAxFW8VZQUVQkd7/mpZhi4l/0+G9NAUohEyL9XYD0NGtF5xmGUsq7221Z0oKp9y6QQs+EKKly8bT335OhuWSDD8jJxquiTMjUkEjxQZjyS6i+PjhP3oBajsEFe5a0XEAAAAASUVORK5CYII=[/img]. Από το σημείο Δ φέρουμε την παράλληλη προς την ΑΒ που τέμνει την ΑΓ στο Ε.[br][br]

Συνεχίστε με τα ερωτήματα

[br][br]α) Να αποδείξετε ότι το τρίγωνο ΕΔΓ είναι ορθογώνιο.[br][br][br][br][br]β) Να υπολογίσετε τη γωνία Α[img width=10,height=23]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAXCAMAAAAFpC7KAAAAAXNSR0IArs4c6QAAAGlQTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOgA6OgBmOjoAOjpmOjqQOpC2OpDbZgAAZgA6Zjo6Zrb/kDoAkJC2kLbbkNv/tmYAtmY6tpBmtv//25A629u229v/2////7Zm/9uQ//+2///bfL5wOgAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAYklEQVQYV2NgwAGUJLkYWUTlGBiUJLhFZBlkJAV5cSkFiouzAlWCgQI7kxiUKc3LzwdhKgqIwVTIszEocIBVKAkLATEbWBMPULs0sxTIJJAWBXYhIMEJ4oNVSDNCAFgF9QAA+rUFCDG1M5kAAAAASUVORK5CYII=[/img]Ε.[br][br][br][br][br]γ) Αν η γωνία [img width=10,height=23]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAoAAAAXCAMAAAAFpC7KAAAAAXNSR0IArs4c6QAAAGNQTFRFAAAAAAAAAAA6ADpmADqQAGa2OgAAOgA6OjoAOjpmOmaQOpC2OpDbZgAAZjo6ZpDbZrb/kDoAkJC2kLbbkNv/tmYAtmY6tpBmttv/27Zm27aQ29u229v/2////9uQ//+2///bvwmX4QAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAYElEQVQYV52OSRKAIAwEJ6K47wvigvz/lQIWlhcuzqkr6ZoECESLjNh4AnrJhwO7aMqAedVkUxgXKp2AjScedf+ijMwKihuVrbbKuZI6j5hjU+GmH5RUAc+JqA09+3N+A+yBBNwgALrBAAAAAElFTkSuQmCC[/img] είναι 20[sup]ο[/sup] μεγαλύτερη της γωνίας [img width=7,height=22]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAcAAAAWBAMAAAD+9pveAAAAAXNSR0IArs4c6QAAACpQTFRFAAAAAAAAAGa2Oma2ZjoAZjo6ZmaQkLb/tmYAtmY6ttv/27aQ2//////baqCLiwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAJUlEQVQYV2NgQAXcjjYMDNPWbi2ACHMICiowcCiAWEQSaOahcgFliASjjt3vPQAAAABJRU5ErkJggg==[/img], να υπολογίσετε τη γωνία [img width=27,height=23]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABsAAAAXCAMAAADNyMQcAAAAAXNSR0IArs4c6QAAAHJQTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOgA6OgBmOjoAOjpmOjqQOpC2OpDbZgAAZgA6Zjo6Zrb/kDoAkDpmkJC2kLbbkNv/tmYAtmY6tpBmtv//25A627Zm29u229v/2////7Zm/9uQ/9u2//+2///bBbaMVgAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAoElEQVQoU9WQyxLCIAxFQ9Hiq6JUBVt8ofz/L0oS2tqZbhxXZsXk5p6bAPB7xWYlZqf7BCie18cbXJt9NaV+lfzSgsqgy82Rl1sSICwsQKxRC6pI79y6dBpH+Upvey0eeChsiLWzDCUUDamURq1HmbuD1vkwM9blyNcDEOxl+8kkzRlwuEdQaeERE57ahGVyMJQGhkML6/kPhGzxdhb/v95gLQxIw4ORSAAAAABJRU5ErkJggg==[/img].[br][br]