Son o'qida \( \mathrm{A}(4,8) \) va \( \mathrm{B}(-7,2) \) nuqtalar berilgan. AB kesma o'rtasining koordinatasini toping.

9. ABC is a triangle in which \( m \overline{\mathrm{BC}}=m \overline{\mathrm{CA}}=2 \mathrm{~m} \overline{\mathrm{AB}} \). Internal bisector of \( \angle A \) meets \( \overline{\mathrm{BC}} \) at D and \( \overline{\mathrm{DE}} \) is drawn parallel to \( \overline{\mathrm{CA}} \) meeting \( \overline{\mathrm{AB}} \) at E . Find \( m \overline{\mathrm{DE}}: \mathrm{m} \overline{\mathrm{AB}} \).

In a right triangle, the lengths of the legs are given as 12 units and 5 units. Use the Pythagorean theorem to find the length of the hypotenuse.

In the figure below, the chord \( E F \) subtends angle of \( 114^{\circ} \) at the centre \( O \). Calculate (a) the length of the chord \( E F \),

Зысоты треугольника пересекаются в точкє О. Зеличина угла \( \angle B A C=85^{\circ} \), величина глла \( \angle A B C=86^{\circ} \). Определи угол \( \angle A O B \).

9. ABC is a triangle in which \( \mathrm{m} \overline{\mathrm{BC}}=\mathrm{m} \overline{\mathrm{CA}}=2 \mathrm{~m} \overline{\mathrm{AB}} \). Internal bisector of \( \angle \mathrm{A} \) meets \( \overline{\mathrm{BC}} \) at D and \( \overline{\mathrm{DE}} \) is drawn parallel to \( \overline{\mathrm{CA}} \) meeting \( \overline{\mathrm{AB}} \) at E . Find \( \mathrm{m} \overline{\mathrm{DE}}: \mathrm{m} \overline{\mathrm{AB}} \).