A) \( \Large 100 \sqrt{3} \) |
B) \( \Large 100 \sqrt{15} \) |
C) \( \Large 100 \sqrt{5} \) |
D) \( \Large 100 \sqrt{7} \) |
B) \( \Large 100 \sqrt{15} \) |
Let the Sides. be x, 2x and 2x.
Then x + 2x + 2x = 100
=> x = 20
Hence sides are 20, 40 and 40.
Therefore, s = 50 [Because, 2s = x+b+c]
Area of the triangle
= \( \Large \sqrt{s \left(s-a\right) \left(s-b\right) \left(s-c\right) } \)
= \( \Large \sqrt{50 \left(50-20\right) \left(50-40\right) \left(50-40\right) } \)
= \( \Large \sqrt{50 \times 30 \times 10 \times 10} \)
= \( \Large 100 \sqrt{15} m^{2} \)
1). In the given figure, AD is the internal bisector and AE is the external bisector of \( \Large \angle \)BAC of any \( \Large \triangle \) ABC. Then which one of the following statements is not correct?
| ||||
2). In the given figure, \( \Large \angle \)ABC = \( \Large \angle \)ADB = \( 90^{\circ} \), which one of the following statements does not hold good?
| ||||
3). Area of an equilateral triangle of side x is
| ||||
4). In the given figure, \( \Large \triangle ABC \) is an equilateral triangle. O is the point of intersection of the medians. If AB = 6 cm, then OB is equal to
| ||||
5). If an isosceles right triangle has an area 200 sq. cm, then area of a square drawn on hypotenuse is
| ||||
6). \( \Large \triangle ABC\ and\ PQR \) are congruent if
| ||||
7). \( \Large \triangle \)PQR and \( \Large \triangle \)LMN are similar. If 3 PQ = LM and MN = 9 cm, then QR is equal to
| ||||
8). If D, E, F are mid-points of the sides BC, CA and AB respectively of a triangle ABC, then which one of the following is not correctly matched?
| ||||
9). If lengths of two sides of a triangle are given, then its area is greater when
| ||||
10). Consider following statements relating to the congruency of two right-angled triangles. 1. Equality of two sides of one triangle with same two sides of the second makes the triangle congruent. 2. Equality of hypotenuse and a side of one triangle with the hypotenuse and a side of the second respectively makes the triangles congruent. 3. Equality of hypotenuse and an acute of triangle with the hypotenuse and an angle of the second respectively makes the triangles congruent. Of these statements
|