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India
Class X

Using similarity proportion to solve problems

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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

Consider the attached figure.

Easy
< 1min

The two given triangles are similar.

Easy
< 1min

The two given triangles are similar.

Easy
< 1min
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Outcomes

10.G.T.1

Definitions, examples, counterexamples of similar triangles, covering (a) If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio, (b) If a line divides two sides of a triangle in the same ratio, the line is parallel to the third side, (c) If in two triangles, the corresponding angles are equal, their corresponding sides are proportional and the triangles are similar, (d) If the corresponding sides of two triangles are proportional, their corresponding angles are equal and the two triangles are similar (e) If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are proportional, the two triangles are similar.

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