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x=9 i.e. option B is the answer.
Explanation:
Given that in triangle ABC, sides AB and BC are 36 and 28 units.
BD is angle bisector of angle B meeting AC at point D
Also AC = 16 cm.
We know that by angle bisector theorem,
AB/AC = BD/DC
Or x/DC = 36/28
By compendo and dividendo principle, we rewrite as
Or x/x+DC = 36/(28+36)
x/16 = 36/64
x = 36(16)/64 = 9 units.
- X + 3Y = 2 (*)
⇔X = 2 - 3Y (1)
- Y = 2X + 3 (2)
(1),(2)⇒ Y = 2(2 - 3Y) +3
⇔ Y = 4 - 6Y + 3
⇔ Y = 1 (**)
(*),(**)⇒ X + 3×1 =2
⇔ X = -1
Answer:
9.2 cm.
Step-by-step explanation:
A pyramid has a horizontal square base of 12 cm. The vertex of the pyramid is 7 cm vertically above the base.
So, the height of the pyramid is 7 cm and half-length i.e. half base is equal to 
cm.
Now, the slant height of a pyramid is the altitude of the side triangles.
Therefore, the length of the slant height will be equal to 
cm ≈ 9.2 cm. (Answer)
