**If the sides of a triangle are in the ratio 3:4:5, prove that it is right-angled triangle.**

**Solution:**

**For going to a city B from city A, there is route via city C such that AC ⊥ CB, AC = 2x km and CB=2(x+ 7) km. It is proposed to construct a 26 km highway which directly connects the two cities A and B. Find how much distance will be saved in reaching city B from city A after the construction of highway.**

**Solution:**

**More Solutions:**

- Find the altitude on BC and Hence, calculate its area.
- Find the area and the perimeter.
- Calculate the length of AB.
- Calculate the length of BD.
- Prove that AB2 = 4AD² – 3AC².
- The area of ∆ ABC is 60 cm². Find x.
- If diagonals are 30 cm and 40 cm.
- Find the area and perimeter of EFGH.
- Prove that 4AD² = 3AB².
- BC and CA respectively of a ΔABC.