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valina [46]
4 years ago
9

There is a right isosceles triangle. The hypotenuse is 31. Find the value of the two missing legs. Round the answer to the neare

st 100th.
if possible, I would like to learn the formula for future reference.
Mathematics
1 answer:
nadezda [96]4 years ago
4 0
We know that
A right isosceles triangle <span> has two equal sides and two equal angles
so 
has two angles equals to 45</span>°

<span>methodology 1 to solve the problem
</span>Let 
x--------> length of the leg of triangle
sin 45°=opposite side/hypotenuse
sin 45°=√2/2
opposite side=hypotenuse*sin 45°------> 31*√2/2---> 21.92 units


methodology 2 to solve the problem
c²=a²+b²
c=hypotenuse------> 31 units
a=leg 1
b=leg 2
a=b
so
c²=2a²------> a²=c²/2------> a²=(31)²/2
a=√[(31)²/2]------> a=31/√2-----> 31√2/2------> 21.92 units


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