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Question 1 :
The perimeters of two similar triangles is in the ratio $3 : 4$. The sum of their areas is $75$ sq. cm. Find the area of each triangle in sq. cm.

Question 2 :
What are the tools required for constructing a tangent to a circle?<br>

Question 3 :
If two similar triangles have a scale factor of $a:b$, then the ratio of their areas is:

Question 4 :
In the construction of triangle similar and larger to a given triangle as per given scale factor m : n, the construction is possible only when :<br/>

Question 5 :
To construct a triangle similar to a given ABC with its sides $\cfrac{3}{7}$ of the corresponding sides of $\Delta$ ABC, first draw a ray BX such that $\angle$CBX is an acute angle and X lies on the opposite side of A with respect to BC. Then locate points $B_1, B_2, B_3,$ ... on BX at equal distances and next step is to join<br/>

Question 6 :
<p>If two similar triangles have a scale factor of $a:b$<em>,</em> then the ratio of their perimeters is <i>....</i></p>

Question 7 :
Write True or False and give reason for your answer in the following:<br>A pair of tangents can be constructed to a circle inclined at an angle of $170^\circ.$

Question 8 :
A circle is inscribed in a quadrilateral ABCD in which $\angle B = 90^o$. If $AD = 23 cm$, $AB = 29 cm$ and $DS = 5 cm$. Find the radius of the circle.

Question 9 :
With the angles given below,in which case the construction of triangle is possible?<br><br>

Question 10 :
The areas of two similar triangles are $45$ sq. cm and $80$ sq. cm. The sum of their perimeters is $35$ cm. Find the perimeter of each triangle in cm.