Question

7-Equip Pre-Module Assessment, Precalculus, Module 1Consider the two triangles.60°45°HypotenuseHypotenuseLeg 1Leg 130°45°Leg 2Leg 2Complete the table to show the side lengths of each triangle in simplest radical form.TriangleLeg 1Leg 2Hypotenuse45 - 45 - 90530- 60-90

Answer 1

for the first one , leg 1 and leg 2 are of the same length since they have same base angles of 45 degrees . The hypotenuse is obtained by using the pythagoras theorem

for the second triangle, we can use sine 30 to obtain leg 1 and sine 60 to obtain leg 2