English
Maharashtra State BoardSSC (English Medium) 9th Standard

In ΔTPQ, ∠T = 65°, ∠P = 95° which of the following is a true statement?

Advertisements
Advertisements

Question

In ΔTPQ, ∠T = 65°, ∠P = 95° which of the following is a true statement?

Options

  • PQ < TP

  • PQ < TQ

  • TQ < TP < PQ

  • PQ < TP < TQ

MCQ
Advertisements

Solution

PQ < TQ

Explanation:

∠Q = 180° – (95° + 65°)

∠Q = 20°

∴ ∠Q < ∠T < ∠P

∴ PT < PQ < TQ

shaalaa.com
  Is there an error in this question or solution?
Chapter 3: Triangles - Problem Set 3 [Page 49]

APPEARS IN

Balbharati Mathematics 2 [English] Standard 9 Maharashtra State Board
Chapter 3 Triangles
Problem Set 3 | Q 1. (iii) | Page 49

RELATED QUESTIONS

Complete the congruence statement:

ΔBCA ≅?

ΔQRS ≅?


In triangles ABC and PQR, if ∠A = ∠R, ∠B = ∠P and AB = RP, then which one of the following congruence conditions applies:


In the given figure, if AC is bisector of ∠BAD such that AB = 3 cm and AC =  5 cm, then CD =


ABC is an isosceles triangle such that AB = AC and AD is the median to base BC. Then, ∠BAD =


Observe the information shown in pair of triangle given below. State the test by which the two triangles are congruent. Write the remaining congruent parts of the triangles.

From the information shown in the figure,

in ΔPTQ and ΔSTR

seg PT ≅ seg ST

∠PTQ ≅ ∠STR        ...[Vertically opposite angles]

∴ ΔPTQ ≅ ΔSTR       ...`square` test

∴ `{:("∠TPQ" ≅ square),("and"  square ≅ "∠TRS"):}}`      ...corresponding angles of congruent triangles

seg PQ ≅ `square`         ...corresponding sides of congruent triangles


In the given figure, ∠P ≅ ∠R seg, PQ ≅ seg RQ. Prove that, ΔPQT ≅ ΔRQS.


State, whether the pairs of triangles given in the following figures are congruent or not:


State, whether the pairs of triangles given in the following figures are congruent or not:


Prove that:

  1. ∆ ABD ≅ ∆ ACD
  2. ∠B = ∠C
  3. ∠ADB = ∠ADC
  4. ∠ADB = 90°


In ΔABC and ΔPQR and, AB = PQ, BC = QR and CB and RQ are extended to X and Y respectively and ∠ABX = ∠PQY. = Prove that ΔABC ≅ ΔPQR.


In the figure, ∠CPD = ∠BPD and AD is the bisector of ∠BAC. Prove that ΔCAP ≅ ΔBAP and CP = BP.


In a triangle ABC, if D is midpoint of BC; AD is produced upto E such as DE = AD, then prove that:
a. DABD andDECD are congruent.
b. AB = EC
c. AB is parallel to EC


In the figure, RT = TS, ∠1 = 2∠2 and ∠4 = 2∠3. Prove that ΔRBT ≅ ΔSAT.


In the figure, AP and BQ are perpendiculars to the line segment AB and AP = BQ. Prove that O is the mid-point of the line segments AB and PQ.


Given that ∆ABC ≅ ∆DEF List all the corresponding congruent sides


If the given two triangles are congruent, then identify all the corresponding sides and also write the congruent angles


If AB = QR, BC = PR and CA = PQ, then ______.


It is given that ∆ABC ≅ ∆RPQ. Is it true to say that BC = QR? Why?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×