Question

The perimeter of an isosceles triangle is 91 cm. If one of the equal sides measures 28 cm, then what is the value of the other non-equal side?

• A. 56 cm
• B. 42 cm
• C. 14 cm
• D. 35 cm

Answer 1

Answer:

D. 35 cm

Solution: Given: The perimeter of an isosceles triangle = 91 cm. One of the equal sides measures 28 cm. Concept used: An isosceles triangle two angles will also be the same in front of the equal sides. Formula used: P = (2a + b) Where, p = perimeter a = side and b = another side Calculation: Let the length of the equal sides be x P = (2a + b) ⇒ 91 = 2 × 28 + b ⇒ (91 – 56) = b ⇒ 35 = b ∴ The length of the non-equal side is 35 cm. ∴ Option 4 is the correct answer.