Consider triangles ABC and DEF where angle B = angle E = 90°, AB = DE = 9 cm and AC = DF = 15 cm.
Find the length of BC (in cm) and state why the triangles are congruent.

Question

Consider triangles ABC and DEF where angle B = angle E = 90°, AB = DE = 9 cm and AC = DF = 15 cm. Find the length of BC (in cm) and state why the triangles are congruent.

Accepted Answer

12. BC = √AC^2 - AB^2 = √225 - 81 = √144 = 12 cm. The triangles are congruent by RHS (right angle, hypotenuse AC=DF, side AB=DE).

Consider triangles ABC and DEF where angle B = angle E = 90°, AB = DE = 9 cm and AC = DF = 15 cm.
Find the length of BC (in cm) and state why the triangles are congruent.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 SSS and RHS Congruence practice

Consider triangles ABC and DEF where angle B = angle E = 90°, AB = DE = 9 cm and AC = DF = 15 cm.Find the length of BC (in cm) and state why the triangles are congruent.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 SSS and RHS Congruence practice

Consider triangles ABC and DEF where angle B = angle E = 90°, AB = DE = 9 cm and AC = DF = 15 cm.
Find the length of BC (in cm) and state why the triangles are congruent.