The formula for the area of a right triangle is:
Area = (1/2) × base × height
We don't know the length of the base of the triangle, but we can use the Pythagorean theorem to find it:
base^2 + height^2 = hypotenuse^2
base^2 + 4.75^2 = 7.42^2
base^2 + 22.5625 = 55.0564
base^2 = 55.0564 - 22.5625
base^2 = 32.4939
base ≈ 5.7
Now we can use the formula for the area of a triangle to find the area:
Area = (1/2) × base × height
Area = (1/2) × 5.7 × 4.75
Area ≈ 13.5775
Rounding to the nearest tenth of a square inch, the measure of the area of the triangle is 13.6 square inches.