Question

*The equal sides of an isosceles triangle are 5 units less than twice the third side. What is the length of equal sides of the triangle, provided its perimeter is 75 units?*
1️⃣ 34 units
2️⃣ 29 units
3️⃣ 14 units
4️⃣ 43 units

Answer 1

Answer:

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Step-by-step explanation:

now for given isoceles triangle let the two equal sides be a and third side ie its base be b

so now according to given condition given condition

a=2b-5 (1)

so now we know that

perimter of isosceles triangle=2a+b

so thus according to the second condition

2a+b=75 (2)

substitute value of a from (1) in (2)

we get

2a+b=75

ie 2(2b-5)+b=75

ie 4b-10+b=75

so 5b=85

ie b=17 units

substitute value of b in any of two equations

we get

a=29 units

hence the length of equal sides of above isosceles triangle are 29 units each

thus option b ie 29 units is ryt answer