ABC is a right-angled triangle.
AC= 16cm
Angle c= 90• (degrees)
Size of angle b: size of angle A = 3:2
Work out the length of AB
Give your answer to 3 significant figures.

Step-by-step explanation:

step 1

Find the measure of angle A

we know that

Triangle ABC is a right triangle

so

The sum of angle A plus angle B must be equal to 90 degrees by complementary angles

----> equation A

so

----> equation B

substitute equation B in equation A

solve for A

step 2

Find the length of side AB (hypotenuse)

we know that

----> by CAH (adjacent side divided by the hypotenuse)

substitute the given values

answer: the equation matches the regression

step-by-step explanation: