ABC is a right angled triangle .

AC= 16cm

Angle C = 90

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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

A+B=90⇒ equation A

so

B=1.5A⇒ equation B

substitute equation B in equation A

A+1.5A=90

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

rectangle: 9 1/8 x 4 1/9 = 37 37/72in

parallelogram: b times h= 10.3 x 6.2 = 63.86

trapezoid: a+b/2 times h= 42.5

volume of prism: l times w times h= 36