Question

Find the missing side lengths. Leave your answers as radicals in simplest form.

1)
2)
1459
712
b
b
र
45°
a
X
3)
D)
X
у
45 6/3
459
912
X
x

Answer 1

Below in bold.

Explanation:

1. This is an isosceles right angled triangle.

x = y.

The ratio of the sides in this triangle are 1:1:√2

So 1/√2 = x / 7√2

√2 x = 7√2

x = 7.

y = 7.

The other 3 are solved in a similar way as they are all isosceles right angled triangles:

2. b = 6 and a = 6√2.

3. 1 / √2 = x / 6√3

√2 x = 6√3

x = 6√3 / √2

x = 6√3 * √2 / 2

= 3√6

y = 3√6.

4. x = y = 9.

Answer 2

1) y = 7 x = 7
2) y = 4.243 x = 4.243
3) y = 7.348 x = 7.348
4) y = 9 x = 9

Explanation:

just use a calculator and put in the given information
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