Question

Find the area of a right triangle that has one leg with a length of 8 centimeters and a hypotenuse length of 17 centimeters.

Answer 1

To find the area of the triangle, we need to first find the length of the other leg using the Pythagorean theorem. Then, we can use the formula for the area of a triangle to calculate the area. In this case, the area of the triangle is 60 square centimeters.

Step-by-step explanation:

The area of a triangle can be found using the formula A = 1/2 * base * height. In this case, since the triangle is a right triangle, the base and height are the legs of the triangle. Given that one leg has a length of 8 centimeters and the hypotenuse has a length of 17 centimeters, we can use the Pythagorean theorem to find the length of the other leg. Using the theorem, we have 8^2 + b^2 = 17^2, where b is the length of the other leg. Solving for b, we find that b = 15 centimeters. Now, we can calculate the area using the formula A = 1/2 * 8 * 15. Plugging in the values, we get A = 60 square centimeters.

Answer 2

since is a right triangle use the Pythagorean theorem to find the missing length in the triangle
17² =8² +x²
x²=17² -8²
x² =289-64=225
x=√225=15

Area of the triangle is 8·15/2=60 cm²