In triangle PQR length of the side QR is less than twice the length of the side PQ by 2 cm. Length of the side PR exceeds the length of the side PQ by 10 cm. The perimeter is 40 cm. The length of the smallest side of the triangle PQR is :
Consider the triangle shown in the figure where BC = 12 cm, DB = 9 cm, CD = 6 cm and ∠BCD = ∠BAC. What is the ratio of the perimeter of the triangle ADC to that of the triangle BDC ?
Two right angled triangles are congruent if :
I. The hypotenuse of one triangle is equal to the hypotenuse of the other.
II. A side for one triangle is equal to the corresponding side of the other.
III. Sides of the triangles are equal.
IV. An angle of the triangle are equal.
Of these statements, the correct ones are combination of:
Consider the following statements :
I. Every equilateral triangle is necessarily an isosceles triangle.
II. Every right-angled triangle is necessarily an isosceles triangle.
III. A triangle in which one of the median is perpendicular to the side it meets, is necessarily an isosceles triangle.
The correct statements are:
Consider the following statements :
I. Three sides of a triangle are equal to three sides of another triangle, then the triangles are congruent.
II. If three angles of a triangle are respectively equal to three angles of another triangle, then the two triangles are congruent.
Of these statements :