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Sides AB and AC and median AD of a triangle ABC | Exercise 6.3 Q14 (Important)
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Exercise 6.3 Question 14 Class 10
An important question of Triangles Exercise 6.3 📝
Sides AB and AC and median AD of a triangle ABC are respectively proportional to sides PQ and PR and median PM of another triangle PQR. Show that Δ ABC ~ Δ PQR.
HINT of Exercise 6.3 Question number 14 class 10 Maths 💡
1. Do the construction
2. Use SAS congruency, then CPCT i.e Corresponding Parts of Congruent Triangles.
3. Afterwards, use SAS similarity to show that Δ ABC ~ Δ PQR.
Read it 📖 :
INTRODUCTION
Two figures are said to be congruent, if they have the same shape and the same size.
Two figures having the same shape (and not necessarily the same size) are called similar figures.
All congruent figures are similar but the similar figures need not be congruent.
Two polygons of the same number of sides are similar, if (i) their corresponding angles are equal and (ii) their corresponding sides are in the same ratio (or proportion)
Note📝
The above question is taken from NCERT class 10 chapter Triangles Question 14 of Exercise 6.3.
Practice :
D is a point on the side BC of a triangle ABC such that ∠ ADC = ∠ BAC. Show that CA^2 = CB.CD.
Revise✍🏻:
Circles:
Real Numbers:
Polynomials
Quadratic Equation
Trigonometry
Connect with us 🤩:
#Triangles #class10maths #ncert
An important question of Triangles Exercise 6.3 📝
Sides AB and AC and median AD of a triangle ABC are respectively proportional to sides PQ and PR and median PM of another triangle PQR. Show that Δ ABC ~ Δ PQR.
HINT of Exercise 6.3 Question number 14 class 10 Maths 💡
1. Do the construction
2. Use SAS congruency, then CPCT i.e Corresponding Parts of Congruent Triangles.
3. Afterwards, use SAS similarity to show that Δ ABC ~ Δ PQR.
Read it 📖 :
INTRODUCTION
Two figures are said to be congruent, if they have the same shape and the same size.
Two figures having the same shape (and not necessarily the same size) are called similar figures.
All congruent figures are similar but the similar figures need not be congruent.
Two polygons of the same number of sides are similar, if (i) their corresponding angles are equal and (ii) their corresponding sides are in the same ratio (or proportion)
Note📝
The above question is taken from NCERT class 10 chapter Triangles Question 14 of Exercise 6.3.
Practice :
D is a point on the side BC of a triangle ABC such that ∠ ADC = ∠ BAC. Show that CA^2 = CB.CD.
Revise✍🏻:
Circles:
Real Numbers:
Polynomials
Quadratic Equation
Trigonometry
Connect with us 🤩:
#Triangles #class10maths #ncert
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