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6. Similarity
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Geometry

6.04 Applications of similar triangles

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Interactive practice questions

Find the value of $u$u using a proportion statement.

Two similar triangles. The smaller triangle, positioned on the left, has its vertices labeled A, B, and C. The larger triangle, situated on the right, has its vertices labeled D, E, and F. Angle A of triangle(ABC) is congruent to angle D of triangle(DEF), as indicated by a single arc on each of these angles. Additionally, angle C of triangle(ABC) is congruent to angle F of triangle(DEF), with this congruence denoted by two arcs on these angles. In $\triangle ABC$△ABC, sides AB which is opposite to angle C measures $16$16 units. Side AC which is opposite to angle B  measures $8$8 units. In $\triangle DEF$△DEF, side DE which is opposite angle F measures $u$u units, and side DF which is opposite angle E measures $18$18 units
Easy
1min

The two given triangles are similar.

Easy
< 1min

The two given triangles are similar.

Easy
< 1min

Council has designed plans for a triangular courtyard in the town square.

The drawing shows the courtyard to have dimensions of $4$4 cm, $6$6 cm and $9$9 cm.

The shortest side of the actual courtyard is to be $80$80 meters long.

Easy
1min
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Outcomes

G.SRT.B.4

Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

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