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1
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Prove that the area of the equilateral triangle drawn on the hypotenuse of a right angled triangle is equal to the sum of the areas of the equilateral triangle drawn on the other two sides of the triangle.
answered
Feb 12, 2018
in
Class X Maths
triangles
1
answer
Prove that the area of the semi-circle drawn on the hypotenuse of a right angled triangle is equal to the sum of the areas of the semi-circles drawn on the other two sides of the triangle.
answered
Feb 12, 2018
in
Class X Maths
triangles
1
answer
In given figure PQR is a right triangle, right angled at Q and QS ⊥ PR. If PQ = 6 cm and PS = 4 cm, then find QS, RS and QR.
asked
Feb 12, 2018
in
Class X Maths
triangles
1
answer
In given figure, ABC is a triangle right angled at B and BD ⊥ AC. If AD = 4 cm and CD = 5 cm, then find BD and AB.
asked
Feb 12, 2018
in
Class X Maths
triangles
1
answer
A street light bulb is fixed on a pole 6 m above the level of the street. If a woman of height 1.5 m casts a shadow of 3 m, then find how far she is away from the base of the pole.
asked
Feb 12, 2018
in
Class X Maths
triangles
1
answer
A flag pole 18 m high casts a shadow 9.6 m long. Find the distance of the top of the pole from the far end of the shadow.
asked
Feb 12, 2018
in
Class X Maths
triangles
1
answer
For going to a city B from city A there is a route via city C such that AC ⊥ CB, AC = 2x km and CB = 2(x+ 7) km.
asked
Feb 12, 2018
in
Class X Maths
triangles
1
answer
A 5 m long ladder is placed leaning towards a vertical wall such that it reaches the wall at a point 4 m high.
asked
Feb 12, 2018
in
Class X Maths
triangles
1
answer
In the given figure, if PQRS is a parallelogram and AB || PS, then prove that OC || SR.
asked
Feb 12, 2018
in
Class X Maths
triangles
1
answer
Prove that, if a line is drawn parallel to one side of a triangle to intersect the other two sides, then the two sides are divided in the same ratio.
asked
Feb 12, 2018
in
Class X Maths
triangles
1
answer
It is given that ΔABC ~ ΔEDF such that AB = 5 cm, AC = 7 cm, DF = 15 cm and DE = 12 cm.
asked
Feb 12, 2018
in
Class X Maths
triangles
1
answer
In given figure, if ∠A = ∠C, AB = 6 cm, BP = 15 cm, AP = 12 cm and CP = 4 cm, then find the lengths of PD and CD.
asked
Feb 12, 2018
in
Class X Maths
triangles
1
answer
Foot of a 10 m long ladder leaning against a vertical wall is 6 m away from the base of the wall.
answered
Feb 12, 2018
in
Class X Maths
triangles
1
answer
A 15 high tower casts a shadow 24 Long at a certain time and at the same time, a telephone pole casts a shadow 16 long.
answered
Feb 12, 2018
in
Class X Maths
triangles
2
answers
In given figure, if ∠ACB = ∠CDA, AC = 8 cm and AD = 3 cm, then find BD.
answered
Feb 12, 2018
in
Class X Maths
triangles
1
answer
Areas of two similar triangles are 36 cm2 and 100 cm2. If the length of a side of the larger triangle is 20 cm.
answered
Feb 12, 2018
in
Class X Maths
triangles
1
answer
In a Δ PQR, N is a point on PR, such that QN ⊥ PR. If PN . NR = QN2, then prove that ∠PQR = 90°.
answered
Feb 12, 2018
in
Class X Maths
triangles
1
answer
Two sides and the perimeter of one triangle are respectively three times the corresponding sides and the perimeter of the other triangle. Are the two triangles similar ? Why ?
asked
Feb 12, 2018
in
Class X Maths
triangles
1
answer
Is the following statement true? Why? “Two quadrilaterals are similar, if their corresponding angles are equal”.
asked
Feb 12, 2018
in
Class X Maths
triangles
1
answer
In ΔPQR and ΔMST, ∠P = 55°, ∠Q =25°, ∠M = 100° and ∠S = 25°. Is ΔQPR ~ ΔTSM ? Why ?
asked
Feb 12, 2018
in
Class X Maths
triangles
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