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Polyhedrons

ABC is a righ...

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ABC is a right triangle, right-angled at B. D and E trisect BC, prove that 8AE²=3AC²+5AD².

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Q. In the figure shown above,

△ A B C

is a right-angled triangle which is right-angled at

B

D

E

are two points on BC such that they trisect

B C

as shown in the figure. Prove that

8 A E^{2} = 3 A C^{2} + 5 A D^{2}

Q. In right angled Triangle ABC if

D

E

B C

then prove that

8 A E^{2} = 3 A C^{2} + 5 A D^{2}

Q. In a right angled triangle ABC,

∠ B = 90^{\circ}

B C

is trisected by the point

D

E

8 {A E}^{2} = 3 {A C}^{2} + 5 {A D}^{2}

Q. In the given figure,

A B C

is a triangle right angled at

B . D

E

B C

trisect it.Prove that

8 {A E}^{2} = 3 {A C}^{2} + 5 {A D}^{2}

Q. In right-angled triangle ABC in which

∠ C = 90^{o}

, if D is the mid-point of BC, prove that

A B^{2} = 4 A D^{2} - 3 A C^{2}

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