$\triangle XYZ$ is right angled at Y. If $m\angle Z$ = $60^{0}$, what is the length of YZ (in cm), if ZX = $3\sqrt{3}$ cm?1). $\frac{3\sqrt{3}}{2}$2). $3\sqrt{3}$3). 94). 6
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1. If $\triangle ABC$ is isosceles triangle with $\angle c$ = $90^{0}$ and AC = 5 cm. then AB is :
2. The radius of the circumcircle of a right angled triangle is 15 cm and the radius of its inscribed circle is 6 cm. Find the sides of the triangle.
3. An arc length of 16π units subtends an angle of 240 degrees. Find the radius (in units) of the circle.
4. Two equal circles of radius 4 cm intersect each other such that each passes through the centre of the other. The length of the common chord is :
5. D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD : DB = 2 : 5 and area of ΔABC is 98 cm sq, what is the area (in sq cm) of quadrilateral BDEC?
6. ABCD is a rhombus. A straight line through C cuts AD produced at P and AB produced at Q. If DP =$\frac{1}{1}AB$,then the ratio of the length of BQ and AB is
7. The number of sides in two regular polygons are in the ratio 5:4 and the difference between each interior angle of the polygons is $6^{0}$. Then the number of sides are
8. In triangle ABC is an obtuse angled triangle with ∠A being the largest of the three. Which statement is true about the sum of the measures of ∠B and ∠C.
9. $\triangle DEF$ is right angled at E. If $m \angle D$ = $30^{0}$. What is the length (in cm) of DE, if EF = $2\sqrt{3}$ cm?
10. I is the incentre of $\triangle ABC$,$\angle ABC$ = $60^{0}$ and $\angle ACB$ = $50^{0}$. Then $\angle BIC$ is :
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