Triangles — Class 9 Mathematics NCERT Solutions (Free)
Free step-by-step NCERT solutions for Class 9 Mathematics chapter "Triangles" — 8 important questions with detailed answers for CBSE board exam preparation.
TL;DR: Free step-by-step NCERT solutions for Class 9 Mathematics chapter "Triangles" — 8 important questions with detailed answers for CBSE board exam prepar…
By Syllab.in · Updated
Key Questions Covered:
- State the SSS (Side-Side-Side) congruence criterion and apply it: If in trian…
- Apply the SAS (Side-Angle-Side) congruence criterion: In triangles ABD and CB…
- Apply the ASA (Angle-Side-Angle) congruence criterion: In triangles PQR and X…
- + 5 more questions in the full chapter
Solutions Summary:
| Question | Status |
|---|---|
| State the SSS (Side-Side-Side) congruence criterion and a… | ✓ Solved |
| Apply the SAS (Side-Angle-Side) congruence criterion: In … | ✓ Solved |
| Apply the ASA (Angle-Side-Angle) congruence criterion: In… | ✓ Solved |
Showing 3 of 8 questions
Q1: State the SSS (Side-Side-Side) congruence criterion and apply it: If in triangle ABC, AB = 3 cm, BC = 4 cm, CA = 5 cm and in triangle PQR, PQ = 3 cm, QR = 4 cm, RP = 5 cm, prove that triangle ABC ≅ triangle PQR.
Step 1: SSS congruence criterion states that if all three sides of one triangle are equal to the corresponding three sides of another triangle, then the two triangles are congruent.
Step 2: In triangle ABC:
AB = 3 cm
BC = 4 cm
CA = 5 cm
Step 3: In triangle PQR:
PQ = 3 cm
QR = 4 cm
RP = 5 cm
Step ...
Q2: Apply the SAS (Side-Angle-Side) congruence criterion: In triangles ABD and CBD, AB = CB, angle ABD = angle CBD, and BD is common. Prove that triangle ABD ≅ triangle CBD.
Step 1: SAS congruence criterion states that if two sides and the included angle of one triangle are equal to the corresponding two sides and the included angle of another triangle, then the triangles are congruent.
Step 2: In triangle ABD:
AB = given
BD = common side
angle ABD = given
Step 3: In ...
Q3: Apply the ASA (Angle-Side-Angle) congruence criterion: In triangles PQR and XYZ, angle Q = angle Y, QR = YZ, and angle R = angle Z. Prove that triangle PQR ≅ triangle XYZ.
Step 1: ASA congruence criterion states that if two angles and the included side of one triangle are equal to the corresponding two angles and the included side of another triangle, then the triangles are congruent.
Step 2: In triangle PQR:
angle Q = given
QR = given (included side between angles Q...
Showing 3 of 8 questions. Visit the full page for complete solutions.