If - ABC- TUS- match value of AB-TU-AC-TS- BC-US in each case-2-50-670-5

The correct option is For the above case the value of nbsp;AB/TU = AC/TS = BC/US is 7.5/3=10/4= 15/6= nbsp;2.5 For the above case the value of nbsp;AB/T ...

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Standard X

Mathematics

Introduction to Similar Triangles

If Δ ABC∼Δ TU...

Question

If $Δ A B C \sim Δ T U S$ , match value of $\frac{A B}{T U} = \frac{A C}{T S} = \frac{B C}{U S}$ in each case.

2.5

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0.67

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0.5

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Solution

For the above case the value of $\frac{A B}{T U} = \frac{A C}{T S} = \frac{B C}{U S} is \frac{7.5}{3} = \frac{10}{4} = \frac{15}{6} = 2.5$

For the above case the value of $\frac{A B}{T U} = \frac{A C}{T S} = \frac{B C}{U S} is \frac{2}{3} = \frac{3}{4.5} = \frac{4}{6} = 0.67$

For the above case the value of $\frac{A B}{T U} = \frac{A C}{T S} = \frac{B C}{U S} is \frac{5}{10} = \frac{6}{12} = \frac{8}{16} = 0.5$

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Similar questions

Which of the following pairs of triangles are congruent ? In each case, state the condition of congruency:

(a) In $Δ A B C$ and $Δ D E F$ , $A B = D E, B C = E F$ and $∠ B =$ $∠ E$ .

(b) In $Δ A B C$ and $Δ D E F$ , $∠ B =$ $∠ E =$ $90^{0}$ , $A C = D F$ and $B C = E F$ .

(d) In $Δ A B C$ and $Δ P Q R$ , $A B = P Q, A C = P R$ and $B C = Q R$ .

(e) In $Δ A B C$ and $Δ P Q R$ , $B C = Q R$ , $∠ A =$ $90^{\circ}$ , $∠ C =$ $∠ R =$ $40^{\circ}$ and $∠ Q =$ $50^{\circ}$ .

Q. In each of the following cases, given reasons to show that the construction of ∆ABC is not possible:
(i) AB = 6 cm, ∠A = 40° and (BC + AC) = 5.8 cm.
(ii) AB = 7 cm, ∠A = 50° and (BC – AC) = 8 cm.
(iii) BC = 5 cm, ∠B = 80°, ∠C = 50° and ∠A = 60°.
(iv) AB = 4 cm, BC = 3 cm and AC = 7 cm.

Question 10

In $Δ A B C$ ,

a) AB + BC > AC
b) AB + BC < AC
c) AB + AC < BC
d) AC + BC < AB

In Fig. 7.142, if $A B ⊥ B C, D E ⊥ B C$ and $D E ⊥ A C$ , prove that $Δ C E D \sim Δ A B C$ .

Q. In ΔABC, if AB = 24 cm, BC = 10 cm and AC = 26 cm, then ∠B = __________.

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If ΔABC∼ΔTUS, match value of ABTU=ACTS=BCUS in each case.

For the above case the value of ABTU=ACTS=BCUS is7.53=104=156=2.5 For the above case the value of ABTU=ACTS=BCUS is23=34.5=46=0.67 For the above case the value of ABTU=ACTS=BCUS is510=612=816=0.5

If $Δ A B C \sim Δ T U S$ , match value of $\frac{A B}{T U} = \frac{A C}{T S} = \frac{B C}{U S}$ in each case.