Question

10. Two equilateral triangles have the sides of lengths
34 and 85, respectively.
(b) How many such equal parts can be measured?​

Answer 1

Answer:

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Step-by-step explanation:

Given:

The two equilateral triangles have sides of length 34cm and 85cm respectively.

To find:

The greatest length tape that can measure the sides of both of them exactly.

Solution:

1) The length of the first equilateral triangle is 34 cm.

The length of the second equilateral triangle is 85 cm.

2) To find the greatest length of the tape to measure it we have to find the HCF  of the sides of the triangle.

HCF[34, 85]

34 = 2×17

85 = 5×17

so the HCF [ 34, 85 ] is 17

The greatest length tape that can measure the sides of both of them exactly is 17 cm.