The leg of a right-angled triangle is 12 cm, and its projection onto the hypotenuse is 6 cm. Find the length of the second
| November 29, 2020 | education
The leg of a right-angled triangle is 12 cm, and its projection onto the hypotenuse is 6 cm. Find the length of the second leg and its projection onto the hypotenuse.
ΔABC – rectangular; ∠A = 90 °;
AM⊥BC; AC = 12 cm; MC = 6 cm
The height of a right triangle AM divides ΔABC into two similar triangles ΔBMA ~ ΔAMC, which are similar to ΔABC
ΔAMC ~ ΔBAC:
MC / AC = AC / BC
BC = AC ^ 2 / MC = 12 ^ 2/6 = 24
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
