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The right triangle shown below has a height of cm and an area of square cm. Complete parts (a) and (b) below, referring to the Math Notes box in Lesson 1.2.1 for further guidance, if necessary.

  1. Find the measure of ∠A to the nearest tenth.

    Start by finding the length of the base of the triangle.

    Use the tangent ratio to find the measure of angle .

  2. Find the perimeter of the triangle.

    Use the Pythagorean Theorem to find the length of the hypotenuse.