To find the lengthof segment , identifyits relationshipto the rest of the triangle.Sinceit is an altitude,it formstwo congruenttriangleswith anglesmeasuring , , and. So, will be the product
of (the shorterleg) and.
yards,or approximately yards.SpecialRightTrianglesin the RealWorld
You can use specialright trianglesin manyreal-worldcontexts.Manyreal-lifeapplicationsof geometryrely
on specialright triangles,so beingable to recalland use theseratiosis a way to savetime whensolving
problems.
Example 6
The diagrambelowshowsthe shadowa flagpolecastsat a certaintime of day.If the lengthof the shadowcast by the flagpoleism, whatis the heightof the flagpoleand the lengthof the hypotenuseof the right triangleshown?