MATH SOLVE

4 months ago

Q:
# In right triangle ABC, angle C = 90 degrees, c = 3, and a + b = square root of 17. Compute the area of the triangle.

Accepted Solution

A:

Answer:2Step-by-step explanation:Given in the question,a + b = √17(a+b)² = 17a² + b² +2ab = 17a² + b² = 17 - 2abArea of triangle 1/2 (h)(b)here h is perpendicular height of triangle = a b is the base of triangle = bUse pythagorus theorem:hypotenuse² = base² + height² 3² = a² + b² 9 = a² + b² 9 = 17 - 2ab 9 - 17 = -2ab -8 = -2ab cancel minus on both sides8 = 2abab = 8/2ab = 4Plug ab in the formula of area 1/2 (h)(b) 1/2 (a)(b) 1/2 (4) 4/2 2