What is the area of a right-angled triangle-1- The perimeter of the triangle is 30 cm-2- The ratio between the base and the height of the triangle is 5- 12-3- The area of the triangle is equal to the area of a rectangle of length 10 cm-A- I and III onlyB- III- and either I or II onlyC- II and III onlyD- I and II only

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Pythagoras Theorem

What is the a...

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What is the area of a right-angled triangle?

I and II only

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II and III only

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I and III only

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III, and either I or II only

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Area = \frac{b \cdot \sqrt{4 a^{2} - b^{2}}}{4}

Height = \frac{1}{2} \sqrt{4 a^{2} - b^{2}}

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

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

$△$ 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) $D E = \frac{B C}{2}$

Question 5

In an isosceles triangle, one angle is $70^{\circ}$ . The other two angles are of

i) $55^{\circ}$ and $55^{\circ}$
ii) $70^{\circ}$ and $40^{\circ}$
iii) Any measure

In the given option(s) which of the above statement(s) are true?

a) (i) only
b) (ii) only
c) (iii) only
d) (i) and (ii)

D and E are points on the sides AB and AC respectively of a $△$ ABC such that DE || BC. Which of the following statement is true?

(i) $△$ ADE ~ $△$ ABC

(ii) $\frac{a r e a o f △ A D E}{a r e a o f △ A B C}$ = $\frac{A D^{2}}{A B^{2}}$

(iii) $\frac{a r e a o f △ A D E}{a r e a o f △ A B C}$ = $\frac{A B^{2}}{A C^{2}}$

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