The perimeters of two similar triangles are 25cm and 15 cm respectively. One side of the first triangle is 10 cm. The length of the corresponding side of the second triangle is

Ratio of Corresponding Sides in Similar Triangles | PadhAiPro

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MCQ (Single)Ratio of Corresponding Sides in Similar Triangles

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In the adjoining figure, AP = 1 cm, BP = 2 cm, AQ = 1.5 cm and AC = 4.5 cm. Prove that △APQ ~ △ABC. Hence find the length of PQ, if BC = 3.6 cm.

In △ABC and △PQR, AD and PS are altitudes such that △ABD ~ △PQS and △ACD ~ △PRS. Prove that △ABC ~ △PQR.

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AA Similarity Criterion for Triangles

Ratio of Corresponding Sides in Similar Triangles

The corresponding sides of △ABC and △PQR are in the ratio 3 : 5. AD⊥BC and PS⊥QR as shown in the following figures :

CASE_STUDIESBasic Proportionality Theorem (Thales Theorem)AA Similarity Criterion for TrianglesRatio of Corresponding Sides in Similar Triangles

State basic proportionality theorem. Use it to prove the following : If three parallel lines l, m, n are intersected by transversals q and s as shown in the adjoining figure, then AB/BC = DE/EF.

TextBasic Proportionality Theorem (Thales Theorem)AA Similarity Criterion for TrianglesRatio of Corresponding Sides in Similar Triangles

If in two triangles △ DEF and △ PQR, ∠ D = ∠ Q and ∠ R = ∠ E, then which of the following is not true ?

MCQ (Single)AA Similarity Criterion for TrianglesRatio of Corresponding Sides in Similar Triangles

The measurements of △ LMN and △ ABC are shown in the figure given below. The length of side AC is :

MCQ (Single)SAS Similarity Criterion for TrianglesRatio of Corresponding Sides in Similar Triangles