Question : The perimeter of an isosceles triangle is 100 cm. If the base is 36 cm, find its semi-perimeter (in centimetres).
Option 1: 64 cm
Option 2: 60 cm
Option 3: 45 cm
Option 4: 50 cm
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Correct Answer: 50 cm
Solution : Semi-perimeter of a triangle $= (\frac{\text{Perimeter}}{2})$ = $\frac{100}{2}$ = 50 cm Hence, the correct answer is 50 cm.
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Question : $\triangle ABC \sim \triangle DEF$ such that AB = 9.1 cm and DE = 6.5 cm. If the perimeter of $\triangle DEF = 25$ cm, then the perimeter of $\triangle ABC$ is:
Question : If the perimeter of an isosceles right triangle is $8(\sqrt{2}+1)$ cm, then the length of the hypotenuse of the triangle is:
Question : The perimeter of an equilateral triangle is 48 cm. Find its area (in cm2).
Question : In an isosceles triangle, the length of each equal side is twice the length of the third side. The ratios of areas of the isosceles triangle and an equilateral triangle with the same perimeter are:
Question : If $\triangle ABC \sim \triangle PQR$, AB =4 cm, PQ=6 cm, QR=9 cm and RP =12 cm, then find the perimeter of $\triangle$ ABC.
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