Exercise 12 Page 503

Notice that the legs of the given right triangle are congruent. Therefore, we have an isosceles triangle and the acute angles are also congruent. By the Triangle Angle Sum Theorem, they must both measure 45^(∘).

In a 45^(∘)-45^(∘)-90^(∘) triangle, the hypotenuse is sqrt(2) times the length of a leg.

y= sqrt(2) * sqrt(5)

ProdSqrt

sqrt(a)*sqrt(b)=sqrt(a* b)

y=sqrt(2 * 5)

Multiply

Multiply

y=sqrt(10)