Question

Someone who knows math more than I do, can you please answer this question for me, I'd appreciate it so much <3

A right triangle has one angle that measures 28o. The adjacent leg measures 32.6 cm and the hypotenuse measures 35 cm.

What is the approximate area of the triangle? Round to the nearest tenth.

Area of a triangle = 1/2 bh

Answer 1

Using the Pythagorean theorem, the other leg measures:
x = sqrt(35^2 - 32.6^2) = 12.74 cm
Since this is a right triangle, the base and height are simply the two sides that are perpendicular to each other.
Then the approximate area is (1/2)(leg 1)(leg 2) = (1/2)(32.6)(12.74) = 207.6 cm^2.