Question

Solve #3 Find the length of the missing side.a) A right triangle has a side length 2.4 cm and 6.5 cm. What is the length of the hypotenuse? b) A right triangle has a side length of and a hypotenuse of 1/4 length . What is the length of the other side? 1/3

Answer 1

Answer:

A)

Data:

P = 6.5 cm

B = 2.4 cm

H = ?

▪ $H^{2} = P^{2} + B^{2}$

=> $H^{2} = 6.5^{2} cm+ 2.4^{2}$ cm

=> $H^{2}$ = 48.01 cm

=> H = $\sqrt{48.01}$ cm

=> H = 6.92 cm

Ans: the length of the hypotenuse is 6.92 cm.

B)

Data:

P = $\frac{1}{4}$

H = $\frac{1}{3}$

B = ?

▪ $H^{2} = P^{2} + B^{2}$

=> $\frac{1}{3}^{2}$ cm = $\frac{1}{4}^{2}$ cm+ $B^{2}$

=> 0.11 cm = 0.06 cm + $B^{2}$

=> $B^{2}$ = 0.11 cm - 0.06 cm

=> B = $\sqrt{0.05}$ cm

=> B = $\frac{11}{50}$ cm

Ans: the length of the other side is $\frac{11}{50}$ cm.

Answer 2

Answer:

A) ≈ 6.93

B) ≈ 0.02

Step-by-step explanation:

A)

Formula : a² + b² = c²

2.4² + 6.5² = c²

5.76 + 42.25 = c²

c = √48.01

c ≈ 6.93

B)

Formula = c² - a² = b²

1/3² - 1/4² = b²

1/9 - 1/16 = b²

b = √7/144

b ≈ 0.02

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