For an isosceles triangle having base b and each of the equal sides as a- we have-I- Area-b-4a2-b24II- Perimeter -2 a-bIII- Height-124a2-b2 Which of the following is true-a I onlyb I and II onlyc II and III onlyd I- II and III

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Area of Triangle of an Isosceles Triangle

For an isosce...

Question

For an isosceles triangle having base b and each of the equal sides as a, we have:
I. $Area = \frac{b \cdot \sqrt{4 a^{2} - b^{2}}}{4}$
II. Perimeter = (2a + b)
III. $Height = \frac{1}{2} \sqrt{4 a^{2} - b^{2}}$
Which of the following is true?
(a) I only
(b) I and II only
(c) II and III only
(d) I, II and III

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Area = \frac{1}{2} a^{2}

Perimeter = (2 + \sqrt{2}) a

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ii) $70^{\circ}$ and $40^{\circ}$
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Among the following molecules,

$(i) X e O_{3}$

$(i i) X e O F_{4}$

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$△$ ABC is an acute angled triangle. DE is drawn parallel to BC as shown. Which of the following are always true?

i) $△ A B C \sim △$ ADE

ii) $\frac{A D}{B D} = \frac{A E}{E C}$

iii) $D E = \frac{B C}{2}$

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