Question

2) A right isosceles triangle has legs that are each 10 mm. What is the length of its hypotenuse?

round to the nearest whole number

Answer 1

• A right isosceles triangle has legs that are each 10 mm.
• Here, base (b) = 10 mm
• Height (h) = 10 mm
• Let the length of the hypotenuse be x.
• Therefore, in the right triangle

`(b) ^(2) + {(h)}^(2) = {(x)}^(2) \: \: \: ( by \: \: \: pythagoras \: \: \: theorem)\\ = > {(10)}^(2) + {(10)}^(2) = {(x)}^(2) \\ = > 100 + 100 = {x}^(2) \\ = > 200 = {x}^(2) \\ = > x = √(200) mm \\ = > x = √(2 * 2 * 2 * 5 * 5)mm \\ = > x = 2 * 5 √(2) mm \\ = > x = 10 √(2) mm`

• So, the length of the hypotenuse is 10√2 mm.

Answer:

10√2 mm.

Hope you could get an idea from here.

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