Question

The area of a right triangle is 50. One of its angles is 45°. Find the lengths of the sides and hypotenuse of the triangle.​

Answer 1

Since one angle is 45 the other two angles should be 45 and 90.

So it is an isosceles right triangle. Area would be 1/2 x a x a, where a is the equal side.

So 1/2 x a x a = 50. a = 10. By pythagoras theorem, hypotenuse = 10xsqrt2.




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Answer 2

Answer:

hypotenuse, h = 10root2 units

Step-by-step explanation:

given, p*b=100                    -------(1)

since, one angle = 45degrees,

hence, p=b.

so, in (1), p^2 = b^2 = 100

= p = b = 10

so, hypotenuse, h = 10root2 units.