Prove that there exist exactly two non-similar isosceles triangles `A B C` such that `tanA+tanB+tanC=100.`

Prove that if the areas of two similar triangles are equal, then they are congruent

Number of triangles A B C if tanA=x ,tanB=x+1,a n dtanC=1-x is ________

DeltaABC is an isosceles triangle in which AB = AC. Show that /_ B = /_ C.

Prove that the ratio of areas of two similar triangles is equal to the square of the ratio of their corresponding medians.

Column I Column II In A B C , if cos24+cos2B+cos2C=-1 then we can conclude that triangle is p. Equilateral triangle In A B C if tanA >0,tanB >0a n dtanAtanB 0,cotB >0a n dcotAcotB<1, then triangle is s. Obtuse angled triangle

Prove that a triangle A B C is equilateral if and only if tanA+tanB+tanC=3sqrt(3)dot

ABC is an isosceles triangle right angled at C. Prove that AB^(2) = 2AC^(2) .

The three points (-2,2)(9,-2),a n d(-4,-3) are the vertices of (a) an isosceles triangle (b) an equilateral triangle (c) a right-angled triangle (d) none of these

If A,B,C are the angles of a non right angled triangle ABC. Then find the value of: |[tanA,1,1],[1,tanB,1],[1,1,tanC]|

If a^2, b^2,c^2 are in A.P., then prove that tanA ,tanB ,tanC are in H.P.