Triangles

CBSE Class 10 Mathematics · every board question from this chapter, 2025–2025 · 19 of them repeated across years

• In the adjoining figure, PQ XY BC, AP=2 cm, PX=1.5 cm and BX=4 cm. If QY=0.75 cm, then AQ+CY=2025asked 3×
• Given ABC PQR, ∠ A=30^° and ∠ Q=90^°. The value of (∠ R+∠ B) is2025asked 3×
• ABC and PQR are shown in the adjoining figures. The measure of ∠ C is:2025asked 3×
• In triangles ABC and DEF, ∠ B=∠ E, ∠ F=∠ C and AB=3 DE. Then, the two triangles are:2025asked 3×
• Which of the following statements is false?2025asked 3×
• In the given figure, PQ BC. If (AP)/(PB)=4/13 and AC=20 · 4 cm, then the length of AQ is:2025asked 3×
• Which of the following statements is incorrect?2025asked 3×
• In the adjoining figure, ABCD is a trapezium in which XY AB CD. If AX=2/3 AD, then CY: YB=2025asked 3×
• If in two triangles DEF and PQR, ∠ D=∠ Q and ∠ R=∠ E, then which of the following is not true?2025asked 3×
• The measurements of Δ LMN and Δ ABC are shown in the figure given below. The length of side AC is:2025asked 3×
• E and F are points on the sides AB and AC respectively of a ABC such that (AE)/(EB)=(AF)/(FC)=1/2. Which of the following…2025asked 3×
• In the given figure, in Δ ABC, AD ⊥ BC and ∠ BAC=90^°. If BC=16 cm and DC=4 cm, then the value of x is:2025asked 3×
• In the adjoining figure, (AD)/(BD)=(AE)/(EC) and ∠ BDE=∠ CED, prove that ABC is an isosceles triangle.2025
• AD and PS are angle bisectors of ∠ A and ∠ P of triangles ABC and PQR. If ABC PQR, prove that ACD PRS.2025
• In ABC and PQR, AD and PS are altitudes such that ABD PQS and ACD PRS. Prove that ABC PQR.2025
• 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.2025
• In the given figure, D is a point on the side BC of Δ ABC such that ∠ ADC=∠ BAC. Show that CA^2=CD. CB. OR In the given figure,…2025asked 2×
• If ABC PQR in which AB=6 cm, BC=4 cm, AC=8 cm and PR=6 cm, then find the length of ( PQ+QR ). OR In the given figure,…2025asked 3×
• P is a point on the side BC of ABC such that ∠ APC=∠ BAC. Prove that AC^2=BC · CP.2025
• AD and PS are medians of triangles ABC and PQR respectively such that ABD PQS. Prove that ABC PQR.2025
• In the given figure, (PS)/(SQ)=(PT)/(TR) and ∠ PST=∠ PRQ. Prove that Δ PQR is an isosceles triangle. OR In the given figure, Δ…2025
• State the basic proportionality theorem. Use the theorem to do the following: In ABC, AD is the angle bisector of angle A. BA is…2025
• The perimeter of an isosceles triangle is 32 cm. If each equal side is 5/6 th of the base, find the area of the triangle.2025
• If a line drawn parallel to one side of triangle intersecting the other two sides in distinct points divides the two sides in the…2025asked 2×
• The diagonal BD of a parallelogram ABCD intersects the line segment AE at the point F, where E is any point on the side BC. Prove…2025asked 3×
• The corresponding sides of ABC and PQR are in the ratio 3: 5. AD ⊥ BC and PS ⊥ QR as shown in the following figures: (i) Prove…2025asked 3×
• State the converse of basic proportionality theorem. Also find (BF)/(FC) in the following figure, given that AB DC EF and…2025
• Prove that a line drawn parallel to one side of a triangle to intersect the other two sides in distinct points divides the other…2025asked 3×
• In the given figure, PA, QB and RC are perpendicular to AC. If PA=x units, QB=y units and RC=z units, prove that…2025asked 3×

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