Test: Areas of Similar Triangles

# Test: Areas of Similar Triangles - Class 10

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Test: Areas of Similar Triangles - Question 1

### In similar triangles ABC and DEF, AG and DH are the medians. What is the value of AG/DH  given that  ​

Detailed Solution for Test: Areas of Similar Triangles - Question 1

If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides. So Also
ΔABGand ΔDEFare also similar triangles , since , so by SAS criterion they are similar.And we know ratios of sides is ⅝ , so AG/DH=5/8

Test: Areas of Similar Triangles - Question 2

### ΔABC ~ ΔPQR . If ar (ΔABC) = 2.25 m2, ar (ΔPQR) = 6.25 m2, PQ = 0.5 m, then length of AB is:​

Test: Areas of Similar Triangles - Question 3

### Triangle ABC is similar to triangle DEF and their areas are 64 cm2 and 121 cm2 respectively. If EF = 15.4 cm, then BC = ?​

Detailed Solution for Test: Areas of Similar Triangles - Question 3

By Similar Triangle Theorem we get,

By taking square roots of both sides,

BC=11.2

Test: Areas of Similar Triangles - Question 4

In ΔDEF and ΔPQR, ∠D = 30°, ∠P = 30°, ∠E = 50°, ∠Q = 50° DE = 7 cm, PQ = 13cm  = ?​

Test: Areas of Similar Triangles - Question 5

The ratio of the areas of two similar triangles is equal to the:​

Test: Areas of Similar Triangles - Question 6

Triangle ABC is similar to triangle DEF and their areas are respectively 64 cm2and 121 cm2. If EF = 15.4 cm, then BC =​

Test: Areas of Similar Triangles - Question 7

Two similar triangles ABC and DEF are such that, AB = 5cm, DE = 12cm, then

Test: Areas of Similar Triangles - Question 8

Two similar triangles ABC and EDF are such that
Which of the following is true?​

Test: Areas of Similar Triangles - Question 9

Sides of two similar triangles are in the ratio 4: 9. What is the ratio of the area of these triangles?​

Test: Areas of Similar Triangles - Question 10

Two similar triangles ABC and DEF are such that .  What is the ratio of their corresponding sides?​

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