Question

Find the value of each variable, 9sqrt 2, 45 degrees, 30 degrees, A B C and D.

(IMAGE DOES NOT MATCH, ONLY DIFFERENCE IS THE ROOT!)

Answer 1

• a = 17,
• b = 34,
• c = 17,
• d = 17√3.

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Recall properties of special right triangles.

45° right triangle has side ratios: 1 : 1 : √2.

It gives us:

• a = c = 17√2/√2 = 17

30°×60° right triangle has side ratios: 1 : √3 : 2.

It gives us:

• b = 2a = 2*17 = 34,
• d = a√3 = 17√3.